Least Common Multiple of 465, 9495

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, 9495 i.e. 294345 smallest integer divisible by all numbers.

Least common multiple (LCM) of 465, 9495 is 294345.

LCM(465, 9495) = 294345

LCM of 465, 9495

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

LCM of:

Least Common Multiple of 465,9495

Least Common Multiple (LCM) of 465,9495 is 294345

3 465, 9495
5 155, 3165
31, 633

∴ So the LCM of the given numbers is 3 x 5 x 31 x 633 = 294345

Least Common Multiple of 465,9495 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 465,9495 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,9495) = 15

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

GCF(465,9495) x common factors =15 x 1 = 15

LCM(465,9495) = ( 465 × 9495 ) / 15

LCM(465,9495) = 4415175 / 15

LCM(465,9495) = 294345

∴ Least Common Multiple of 465,9495 is 294345

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 465, 9495

1. What is the LCM of 465, 9495?

Answer: LCM of 465, 9495 is 294345.

2. What are the Factors of 294345?

Answer: Factors of 294345 are . There are integers that are factors of 294345

3. How to Find the LCM of 465, 9495 ?

Least Common Multiple of 465, 9495.

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, 9495) = 3 x 3 x 5 x 31 x 211 = 294345.