Least Common Multiple of 495, 165, 385

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, 165, 385 i.e. 3465 smallest integer divisible by all numbers.

Least common multiple (LCM) of 495, 165, 385 is 3465.

LCM(495, 165, 385) = 3465

LCM of 495, 165, 385

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

LCM of:

Least Common Multiple of 495,165,385

Least Common Multiple (LCM) of 495,165,385 is 3465

3 495, 165, 385
5 165, 55, 385
11 33, 11, 77
3, 1, 7

∴ So the LCM of the given numbers is 3 x 5 x 11 x 3 x 1 x 7 = 3465

Least Common Multiple of 495,165,385 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 495,165,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(495,165,385) = 55

common factors(in case of two or more numbers have common factors) = 165

GCF(495,165,385) x common factors =55 x 165 = 9075

LCM(495,165,385) = ( 495 × 165 × 385 ) / 9075

LCM(495,165,385) = 31444875 / 9075

LCM(495,165,385) = 3465

∴ Least Common Multiple of 495,165,385 is 3465

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 495, 165, 385

1. What is the LCM of 495, 165, 385?

Answer: LCM of 495, 165, 385 is 3465.

2. What are the Factors of 3465?

Answer: Factors of 3465 are . There are integers that are factors of 3465

3. How to Find the LCM of 495, 165, 385 ?

Least Common Multiple of 495, 165, 385.

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, 165, 385) = 3 x 3 x 5 x 7 x 11 = 3465.