Least Common Multiple of 465, 3460

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, 3460 i.e. 321780 smallest integer divisible by all numbers.

Least common multiple (LCM) of 465, 3460 is 321780.

LCM(465, 3460) = 321780

LCM of 465, 3460

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

LCM of:

Least Common Multiple of 465,3460

Least Common Multiple (LCM) of 465,3460 is 321780

5 465, 3460
93, 692

∴ So the LCM of the given numbers is 5 x 93 x 692 = 321780

Least Common Multiple of 465,3460 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 465,3460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,3460) = 5

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

GCF(465,3460) x common factors =5 x 1 = 5

LCM(465,3460) = ( 465 × 3460 ) / 5

LCM(465,3460) = 1608900 / 5

LCM(465,3460) = 321780

∴ Least Common Multiple of 465,3460 is 321780

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 465, 3460

1. What is the LCM of 465, 3460?

Answer: LCM of 465, 3460 is 321780.

2. What are the Factors of 321780?

Answer: Factors of 321780 are . There are integers that are factors of 321780

3. How to Find the LCM of 465, 3460 ?

Least Common Multiple of 465, 3460.

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, 3460) = 2 x 2 x 3 x 5 x 31 x 173 = 321780.