Menu lcm (150; 5) = ? Calculate LCM, the least prevalent multiple of numbers. Result composed as an integer and prime factorized
Divide the larger number by the smaller one. Notice that dividing our numbers leaves no remainder: 150 ÷ 5 = 30 + 0; => 150 = 5 × 30; So, 150 is divisible by 5. 150 is a multiple of 5. The smallest multiple of 150 is the number itself: 150. Consequently, leastern common multiple: lcm (5; 150) = 150;
Prime Factorization of a number: finding the prime numbers that multiply together to make that number. 150 = 2 × 3 × 52; 150 is not a prime, is a compowebsite number;5 is a prime number, it cannot be broken dvery own to various other prime factors; * Positive integers that are only dividing by themselves and also 1 are dubbed prime numbers. A prime number has just 2 factors: 1 and also itself. * A compowebsite number is a positive integer that has at leastern one variable (divisor) other than 1 and also itself.
Multiply all the prime determinants, by the largest exponents (if any). lcm (150; 5) = 2 × 3 × 52;

Final answer: Leastern common multiple lcm (150; 5) = 150 = 2 × 3 × 52 150 is divisible by 5. 150 is a multiple of 5. 150 has actually all the prime components of the number 5

Why perform we need the least common multiple?


In order to add, subtract or compare fractions you need to initially construct their denominators the very same. This widespread denominator is nothing else than the least common multiple of fractions" denominators, also called the leastern widespread denominator, lcd. By interpretation, the least prevalent multiple of 2 integers, LCM, is the smallest positive integer bigger than 0 that is a multiple of both.

Online calculator: LCM, the least prevalent multiple

Integer number 1: Integer number 2:

The latest calculated worths of the "leastern prevalent multiple", LCM


lcm (150; 5) = ? Sep 20 23:07 UTC (GMT)
lcm (61,215; 612,150) = ? Sep 20 23:07 UTC (GMT)
lcm (150; 5) = ? Sep 20 23:07 UTC (GMT)
lcm (15; 6,184) = ? Sep 20 23:07 UTC (GMT)
lcm (22; 52) = ? Sep 20 23:07 UTC (GMT)
lcm (526,414; 4,211,376) = ? Sep 20 23:07 UTC (GMT)
lcm (24; 35) = ? Sep 20 23:07 UTC (GMT)
lcm (5; 7) = ? Sep 20 23:07 UTC (GMT)
lcm (4,585; 26,676) = ? Sep 20 23:07 UTC (GMT)
lcm (108; 3,156) = ? Sep 20 23:07 UTC (GMT)
lcm (330; 3) = ? Sep 20 23:07 UTC (GMT)
lcm (1,545; 50) = ? Sep 20 23:07 UTC (GMT)
lcm (3; 3) = ? Sep 20 23:07 UTC (GMT)
least widespread multiple, view even more...

60 is a widespread multiple of the numbers 6 and also 15, bereason 60 is a multiple of 6 and also is additionally a multiple of 15. But tright here is also an infinite number of common multiples of 6 and also 15.

You are watching: What is the least common multiple of 5 and 150

If "v" is a multiple of "a" and also "b", then all the multiples of "v" are also multiples of "a" and "b".

Typical multiples of 6 and also 15 are: 30, 60, 90, 120... Among them, 30 is the lowest and also we say that 30 is the least prevalent multiple, or the lowest common multiple, or the smallest widespread multiple of 6 and 15, abbreviated as LCM.

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If e = LCM (a; b), then "e" has all the prime factors associated in the prime factorizations of both "a" and "b", by the highest possible powers (exponents).

Based on this rule we have the right to calculate the least prevalent multiple, LCM, of the three numbers in the instance below:

40 = 23 × 536 = 22 × 32126 = 2 × 32 × 7LCM (40; 36; 126) = 23 × 32 × 5 × 7 = 2,520
What is a prime number? What is a compowebsite number? Prime numbers as much as 1,000 Prime numbers approximately 10,000 Sieve of Eratosthenes Euclid"s algorithm Simplifying ordinary (common) math fractions (reducing to lower terms): actions to follow and examples