Least Common Multiple of 9918/966, 6156/531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9918/966, 6156/531 quickly i.e. 59508 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9918/966, 6156/531 is 59508.

LCM(9918/966, 6156/531) = 59508

LCM of 9918/966, 6156/531

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 9918/966,6156/531

Given numbers are 9918/966,6156/531

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 9918,6156

Least Common Multiple of Numerators i.e. LCM of 9918,6156 is 178524.

GCF of Denominators means GCF of 966,531 as per the given fractions.

GCF of 966,531 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9918,6156

LCM of Fractions 9918/966,6156/531 is 59508

2 9918, 6156
3 4959, 3078
3 1653, 1026
19 551, 342
29, 18

∴ So the LCM of the given numbers is 2 x 3 x 3 x 19 x 29 x 18 = 178524

Least Common Multiple of 9918,6156 with GCF Formula

Least Common Multiple of 9918,6156 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 9918,6156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9918,6156) = 342

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

GCF(9918,6156) x common factors =342 x 1 = 342

LCM(9918,6156) = ( 9918 × 6156 ) / 342

LCM(9918,6156) = 61055208 / 342

LCM(9918,6156) = 178524


Lets's calculate GCF of 966,531

3 966, 531
322, 177

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 178524/3

Therefore the LCM of Fractions 9918/966,6156/531 is 59508

Greatest Common Factor of 966,531 By Matching Biggest Common Factor Method

Greatest Common Factor of 966,531 By Matching Biggest Common Factor Method

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Greatest Common Factor

We found the factors 966,531 . The biggest common factor number is the GCF number.
So the greatest common factor 966,531 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 9918/966, 6156/531

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 9918/966, 6156/531?

Answer: LCM of Numerators as per given numbers 9918/966, 6156/531 is

LCM of Numerators i.e. for 9918,6156 is 178524

GCF of denominators i.e. for 966,531 is 3.

Thus, LCM of Fractions is 59508.Finally, LCM of Fractions for 9918/966, 6156/531 is 59508.