Least Common Multiple of 465, 3675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 465, 3675 i.e. 113925 smallest integer divisible by all numbers.

Least common multiple (LCM) of 465, 3675 is 113925.

LCM(465, 3675) = 113925

LCM of 465, 3675

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 465,3675

Least Common Multiple (LCM) of 465,3675 is 113925

3 465, 3675
5 155, 1225
31, 245

∴ So the LCM of the given numbers is 3 x 5 x 31 x 245 = 113925

Least Common Multiple of 465,3675 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 465,3675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,3675) = 15

common factors(in case of two or more numbers have common factors) = 1

GCF(465,3675) x common factors =15 x 1 = 15

LCM(465,3675) = ( 465 × 3675 ) / 15

LCM(465,3675) = 1708875 / 15

LCM(465,3675) = 113925

∴ Least Common Multiple of 465,3675 is 113925

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 465, 3675

1. What is the LCM of 465, 3675?

Answer: LCM of 465, 3675 is 113925.

2. What are the Factors of 113925?

Answer: Factors of 113925 are . There are integers that are factors of 113925

3. How to Find the LCM of 465, 3675 ?

Least Common Multiple of 465, 3675.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(465, 3675) = 3 x 5 x 5 x 7 x 7 x 31 = 113925.