What is the LCM of 36 and 900?

What's the Least Common Multiple (LCM) of 36 and 900?

Answer

LCM of 36 and 900 is

900

First common multiples: 900; 1,800; 2,700; …

As a common denominator: multiply the top and bottom of x/36 by 25.

36 divides 900 (900 ÷ 36 = 25), so the LCM is the larger number itself.

36 = 2² × 3²

900 = 2² × 3² × 5²

Prime	36	900	Highest power
2	2²	2²	2²
3	3²	3²	3²
5	—	5²	5²

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 2² × 3² × 5² = 900

Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
Multiples of a Number - List the first 10 multiples of any number from 1 to 999

Share This Calculation

Print

https://calculat.io/en/number/least-common-multiple-lcm-of/36--900

<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/36--900">What is the LCM of 36 and 900? - Calculatio</a>

Facebook

Twitter

Viber

Email

https://calculat.io/en/number/least-common-multiple-lcm-of/36--900/generated.jpg