Least Common Multiple of 495, 945, 369

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, 945, 369 i.e. 426195 smallest integer divisible by all numbers.

Least common multiple (LCM) of 495, 945, 369 is 426195.

LCM(495, 945, 369) = 426195

LCM of 495, 945, 369

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

LCM of:

Least Common Multiple of 495,945,369

Least Common Multiple (LCM) of 495,945,369 is 426195

3 495, 945, 369
3 165, 315, 123
5 55, 105, 41
11, 21, 41

∴ So the LCM of the given numbers is 3 x 3 x 5 x 11 x 21 x 41 = 426195

Least Common Multiple of 495,945,369 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 495,945,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(495,945,369) = 9

common factors(in case of two or more numbers have common factors) = 45

GCF(495,945,369) x common factors =9 x 45 = 405

LCM(495,945,369) = ( 495 × 945 × 369 ) / 405

LCM(495,945,369) = 172608975 / 405

LCM(495,945,369) = 426195

∴ Least Common Multiple of 495,945,369 is 426195

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, 945, 369

1. What is the LCM of 495, 945, 369?

Answer: LCM of 495, 945, 369 is 426195.

2. What are the Factors of 426195?

Answer: Factors of 426195 are . There are integers that are factors of 426195

3. How to Find the LCM of 495, 945, 369 ?

Least Common Multiple of 495, 945, 369.

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, 945, 369) = 3 x 3 x 3 x 5 x 7 x 11 x 41 = 426195.