Least Common Multiple of 966/53, 5382/547

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 966/53, 5382/547 quickly i.e. 37674 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 966/53, 5382/547 is 37674.

LCM(966/53, 5382/547) = 37674

LCM of 966/53, 5382/547

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 966/53,5382/547

Given numbers are 966/53,5382/547

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 966,5382

Least Common Multiple of Numerators i.e. LCM of 966,5382 is 37674.

GCF of Denominators means GCF of 53,547 as per the given fractions.

GCF of 53,547 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 966,5382

LCM of Fractions 966/53,5382/547 is 37674

2 966, 5382
3 483, 2691
23 161, 897
7, 39

∴ So the LCM of the given numbers is 2 x 3 x 23 x 7 x 39 = 37674

Least Common Multiple of 966,5382 with GCF Formula

Least Common Multiple of 966,5382 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 966,5382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(966,5382) = 138

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

GCF(966,5382) x common factors =138 x 1 = 138

LCM(966,5382) = ( 966 × 5382 ) / 138

LCM(966,5382) = 5199012 / 138

LCM(966,5382) = 37674


Lets's calculate GCF of 53,547

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37674/1

Therefore the LCM of Fractions 966/53,5382/547 is 37674

Greatest Common Factor of 53,547 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,547 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 547

List of positive integer factors of 547 that divides 547 without a remainder.

1,547

Greatest Common Factor

We found the factors 53,547 . The biggest common factor number is the GCF number.
So the greatest common factor 53,547 is 1.


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 966/53, 5382/547

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 966/53, 5382/547?

Answer: LCM of Numerators as per given numbers 966/53, 5382/547 is

LCM of Numerators i.e. for 966,5382 is 37674

GCF of denominators i.e. for 53,547 is 1.

Thus, LCM of Fractions is 37674.Finally, LCM of Fractions for 966/53, 5382/547 is 37674.