Least Common Multiple of 465, 5745

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, 5745 i.e. 178095 smallest integer divisible by all numbers.

Least common multiple (LCM) of 465, 5745 is 178095.

LCM(465, 5745) = 178095

LCM of 465, 5745

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

LCM of:

Least Common Multiple of 465,5745

Least Common Multiple (LCM) of 465,5745 is 178095

3 465, 5745
5 155, 1915
31, 383

∴ So the LCM of the given numbers is 3 x 5 x 31 x 383 = 178095

Least Common Multiple of 465,5745 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 465,5745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,5745) = 15

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

GCF(465,5745) x common factors =15 x 1 = 15

LCM(465,5745) = ( 465 × 5745 ) / 15

LCM(465,5745) = 2671425 / 15

LCM(465,5745) = 178095

∴ Least Common Multiple of 465,5745 is 178095

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 465, 5745

1. What is the LCM of 465, 5745?

Answer: LCM of 465, 5745 is 178095.

2. What are the Factors of 178095?

Answer: Factors of 178095 are . There are integers that are factors of 178095

3. How to Find the LCM of 465, 5745 ?

Least Common Multiple of 465, 5745.

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, 5745) = 3 x 5 x 31 x 383 = 178095.