Least Common Multiple of 66/976, 92/894, 516/470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/976, 92/894, 516/470 quickly i.e. 65274 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/976, 92/894, 516/470 is 65274.

LCM(66/976, 92/894, 516/470) = 65274

LCM of 66/976, 92/894, 516/470

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 66/976,92/894,516/470

Given numbers are 66/976,92/894,516/470

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 66,92,516

Least Common Multiple of Numerators i.e. LCM of 66,92,516 is 130548.

GCF of Denominators means GCF of 976,894,470 as per the given fractions.

GCF of 976,894,470 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,92,516

LCM of Fractions 66/976,92/894,516/470 is 65274

2 66, 92, 516
2 33, 46, 258
3 33, 23, 129
11, 23, 43

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 23 x 43 = 130548

Least Common Multiple of 66,92,516 with GCF Formula

Least Common Multiple of 66,92,516 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 66,92,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,92,516) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(66,92,516) x common factors =2 x 12 = 24

LCM(66,92,516) = ( 66 × 92 × 516 ) / 24

LCM(66,92,516) = 3133152 / 24

LCM(66,92,516) = 130548


Lets's calculate GCF of 976,894,470

2 976, 894, 470
488, 447, 235

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 130548/2

Therefore the LCM of Fractions 66/976,92/894,516/470 is 65274

Greatest Common Factor of 976,894,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 976,894,470 By Matching Biggest Common Factor Method

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 976,894,470 . The biggest common factor number is the GCF number.
So the greatest common factor 976,894,470 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 66/976, 92/894, 516/470

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 66/976, 92/894, 516/470?

Answer: LCM of Numerators as per given numbers 66/976, 92/894, 516/470 is

LCM of Numerators i.e. for 66,92,516 is 130548

GCF of denominators i.e. for 976,894,470 is 2.

Thus, LCM of Fractions is 65274.Finally, LCM of Fractions for 66/976, 92/894, 516/470 is 65274.