Least Common Multiple of 26, 30, 13, 965

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 26, 30, 13, 965 i.e. 75270 smallest integer divisible by all numbers.

Least common multiple (LCM) of 26, 30, 13, 965 is 75270.

LCM(26, 30, 13, 965) = 75270

LCM of 26, 30, 13, 965

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

LCM of:

Least Common Multiple of 26,30,13,965

Least Common Multiple (LCM) of 26,30,13,965 is 75270

2 26, 30, 13, 965
5 13, 15, 13, 965
13 13, 3, 13, 193
1, 3, 1, 193

∴ So the LCM of the given numbers is 2 x 5 x 13 x 1 x 3 x 1 x 193 = 75270

Least Common Multiple of 26,30,13,965 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 26,30,13,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,30,13,965) = 1

common factors(in case of two or more numbers have common factors) = 130

GCF(26,30,13,965) x common factors =1 x 130 = 130

LCM(26,30,13,965) = ( 26 × 30 × 13 × 965 ) / 130

LCM(26,30,13,965) = 9785100 / 130

LCM(26,30,13,965) = 75270

∴ Least Common Multiple of 26,30,13,965 is 75270

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 26, 30, 13, 965

1. What is the LCM of 26, 30, 13, 965?

Answer: LCM of 26, 30, 13, 965 is 75270.

2. What are the Factors of 75270?

Answer: Factors of 75270 are . There are integers that are factors of 75270

3. How to Find the LCM of 26, 30, 13, 965 ?

Least Common Multiple of 26, 30, 13, 965.

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(26, 30, 13, 965) = 2 x 3 x 5 x 13 x 193 = 75270.