Least Common Multiple of 51, 34, 75, 260

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 51, 34, 75, 260 i.e. 66300 smallest integer divisible by all numbers.

Least common multiple (LCM) of 51, 34, 75, 260 is 66300.

LCM(51, 34, 75, 260) = 66300

LCM of 51, 34, 75, 260

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

LCM of:

Least Common Multiple of 51,34,75,260

Least Common Multiple (LCM) of 51,34,75,260 is 66300

2 51, 34, 75, 260
3 51, 17, 75, 130
5 17, 17, 25, 130
17 17, 17, 5, 26
1, 1, 5, 26

∴ So the LCM of the given numbers is 2 x 3 x 5 x 17 x 1 x 1 x 5 x 26 = 66300

Least Common Multiple of 51,34,75,260 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 51,34,75,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,34,75,260) = 1

common factors(in case of two or more numbers have common factors) = 510

GCF(51,34,75,260) x common factors =1 x 510 = 510

LCM(51,34,75,260) = ( 51 × 34 × 75 × 260 ) / 510

LCM(51,34,75,260) = 33813000 / 510

LCM(51,34,75,260) = 66300

∴ Least Common Multiple of 51,34,75,260 is 66300

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 51, 34, 75, 260

1. What is the LCM of 51, 34, 75, 260?

Answer: LCM of 51, 34, 75, 260 is 66300.

2. What are the Factors of 66300?

Answer: Factors of 66300 are . There are integers that are factors of 66300

3. How to Find the LCM of 51, 34, 75, 260 ?

Least Common Multiple of 51, 34, 75, 260.

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(51, 34, 75, 260) = 2 x 2 x 3 x 5 x 5 x 13 x 17 = 66300.