Menu lcm (150; 5) = ? calculation LCM, the least common multiple the numbers. Result written as an integer and prime factorized
Divide the larger number by the smaller one. Notice that dividing our numbers pipeline no remainder: 150 ÷ 5 = 30 + 0; => 150 = 5 × 30; So, 150 is divisible by 5. 150 is a multiple of 5. The smallest multiple that 150 is the number itself: 150. Consequently, least common multiple: lcm (5; 150) = 150;
Prime administrate 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 composite number;5 is a element number, it can not be damaged down to other prime factors; * positive integers that space only splitting by themselves and also 1 are called prime numbers. A element number has only two factors: 1 and also itself. * A composite number is a positive integer that contends least one aspect (divisor) other than 1 and itself.
Multiply every the prime factors, by the biggest exponents (if any). Lcm (150; 5) = 2 × 3 × 52;

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

### Why carry out we need the least usual multiple?

In order come add, subtract or compare fractions you have actually to an initial build their denominators the same. This usual denominator is naught else than the least typical multiple the fractions" denominators, also called the least usual denominator, lcd. Through definition, the least usual multiple of 2 integers, LCM, is the smallest optimistic integer larger than 0 the is a many of both.

## Online calculator: LCM, the least usual multiple

Integer number 1: integer number 2:

## The recent calculated values of the "least usual 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 usual multiple, see more...

60 is a typical multiple the the numbers 6 and also 15, due to the fact that 60 is a multiple of 6 and also is additionally a lot of of 15. Yet there is likewise an infinite number of common multiples the 6 and 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 additionally multiples the "a" and also "b".

Common multiples the 6 and also 15 are: 30, 60, 90, 120... Amongst them, 30 is the lowest and we say the 30 is the least typical multiple, or the lowest common multiple, or the smallest typical multiple of 6 and 15, abbreviated as LCM.

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If e = LCM (a; b), climate "e" has all the prime factors connected in the prime factorizations that both "a" and also "b", by the highest possible powers (exponents).

Based ~ above this ascendancy we deserve to calculate the least common 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 element number? What is a composite number? element numbers approximately 1,000 prime numbers approximately 10,000 Sieve of Eratosthenes Euclid"s algorithm Simplifying plain (common) math fractions (reducing to reduced terms): procedures to follow and also examples