Least Common Multiple of 495, 9750

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 495, 9750 i.e. 321750 smallest integer divisible by all numbers.

Least common multiple (LCM) of 495, 9750 is 321750.

LCM(495, 9750) = 321750

LCM of 495, 9750

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

LCM of:

Least Common Multiple of 495,9750

Least Common Multiple (LCM) of 495,9750 is 321750

3 495, 9750
5 165, 3250
33, 650

∴ So the LCM of the given numbers is 3 x 5 x 33 x 650 = 321750

Least Common Multiple of 495,9750 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 495,9750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(495,9750) = 15

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

GCF(495,9750) x common factors =15 x 1 = 15

LCM(495,9750) = ( 495 × 9750 ) / 15

LCM(495,9750) = 4826250 / 15

LCM(495,9750) = 321750

∴ Least Common Multiple of 495,9750 is 321750

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 495, 9750

1. What is the LCM of 495, 9750?

Answer: LCM of 495, 9750 is 321750.

2. What are the Factors of 321750?

Answer: Factors of 321750 are . There are integers that are factors of 321750

3. How to Find the LCM of 495, 9750 ?

Least Common Multiple of 495, 9750.

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(495, 9750) = 2 x 3 x 3 x 5 x 5 x 5 x 11 x 13 = 321750.