Least Common Multiple of 971/66, 468/28, 934/530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 971/66, 468/28, 934/530 quickly i.e. 106108938 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 971/66, 468/28, 934/530 is 106108938.

LCM(971/66, 468/28, 934/530) = 106108938

LCM of 971/66, 468/28, 934/530

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 971/66,468/28,934/530

Given numbers are 971/66,468/28,934/530

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 971,468,934

Least Common Multiple of Numerators i.e. LCM of 971,468,934 is 212217876.

GCF of Denominators means GCF of 66,28,530 as per the given fractions.

GCF of 66,28,530 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 971,468,934

LCM of Fractions 971/66,468/28,934/530 is 106108938

2 971, 468, 934
971, 234, 467

∴ So the LCM of the given numbers is 2 x 971 x 234 x 467 = 212217876

Least Common Multiple of 971,468,934 with GCF Formula

Least Common Multiple of 971,468,934 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 971,468,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,468,934) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(971,468,934) x common factors =1 x 2 = 2

LCM(971,468,934) = ( 971 × 468 × 934 ) / 2

LCM(971,468,934) = 424435752 / 2

LCM(971,468,934) = 212217876


Lets's calculate GCF of 66,28,530

2 66, 28, 530
33, 14, 265

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 212217876/2

Therefore the LCM of Fractions 971/66,468/28,934/530 is 106108938

Greatest Common Factor of 66,28,530 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,28,530 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Greatest Common Factor

We found the factors 66,28,530 . The biggest common factor number is the GCF number.
So the greatest common factor 66,28,530 is 2.


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 971/66, 468/28, 934/530

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 971/66, 468/28, 934/530?

Answer: LCM of Numerators as per given numbers 971/66, 468/28, 934/530 is

LCM of Numerators i.e. for 971,468,934 is 212217876

GCF of denominators i.e. for 66,28,530 is 2.

Thus, LCM of Fractions is 106108938.Finally, LCM of Fractions for 971/66, 468/28, 934/530 is 106108938.