Least Common Multiple of 65, 30, 96, 310

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 65, 30, 96, 310 i.e. 193440 smallest integer divisible by all numbers.

Least common multiple (LCM) of 65, 30, 96, 310 is 193440.

LCM(65, 30, 96, 310) = 193440

LCM of 65, 30, 96, 310

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

LCM of:

Least Common Multiple of 65,30,96,310

Least Common Multiple (LCM) of 65,30,96,310 is 193440

2 65, 30, 96, 310
3 65, 15, 48, 155
5 65, 5, 16, 155
13, 1, 16, 31

∴ So the LCM of the given numbers is 2 x 3 x 5 x 13 x 1 x 16 x 31 = 193440

Least Common Multiple of 65,30,96,310 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 65,30,96,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,30,96,310) = 1

common factors(in case of two or more numbers have common factors) = 300

GCF(65,30,96,310) x common factors =1 x 300 = 300

LCM(65,30,96,310) = ( 65 × 30 × 96 × 310 ) / 300

LCM(65,30,96,310) = 58032000 / 300

LCM(65,30,96,310) = 193440

∴ Least Common Multiple of 65,30,96,310 is 193440

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 65, 30, 96, 310

1. What is the LCM of 65, 30, 96, 310?

Answer: LCM of 65, 30, 96, 310 is 193440.

2. What are the Factors of 193440?

Answer: Factors of 193440 are . There are integers that are factors of 193440

3. How to Find the LCM of 65, 30, 96, 310 ?

Least Common Multiple of 65, 30, 96, 310.

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(65, 30, 96, 310) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 x 31 = 193440.