Least Common Multiple of 976/569, 208/492, 364/187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 976/569, 208/492, 364/187 quickly i.e. 88816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 976/569, 208/492, 364/187 is 88816.

LCM(976/569, 208/492, 364/187) = 88816

LCM of 976/569, 208/492, 364/187

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 976/569,208/492,364/187

Given numbers are 976/569,208/492,364/187

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 976,208,364

Least Common Multiple of Numerators i.e. LCM of 976,208,364 is 88816.

GCF of Denominators means GCF of 569,492,187 as per the given fractions.

GCF of 569,492,187 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 976,208,364

LCM of Fractions 976/569,208/492,364/187 is 88816

2 976, 208, 364
2 488, 104, 182
2 244, 52, 91
2 122, 26, 91
13 61, 13, 91
61, 1, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 13 x 61 x 1 x 7 = 88816

Least Common Multiple of 976,208,364 with GCF Formula

Least Common Multiple of 976,208,364 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 976,208,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,208,364) = 4

common factors(in case of two or more numbers have common factors) = 208

GCF(976,208,364) x common factors =4 x 208 = 832

LCM(976,208,364) = ( 976 × 208 × 364 ) / 832

LCM(976,208,364) = 73894912 / 832

LCM(976,208,364) = 88816


Lets's calculate GCF of 569,492,187

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88816/1

Therefore the LCM of Fractions 976/569,208/492,364/187 is 88816

Greatest Common Factor of 569,492,187 By Matching Biggest Common Factor Method

Greatest Common Factor of 569,492,187 By Matching Biggest Common Factor Method

Factors of 569

List of positive integer factors of 569 that divides 569 without a remainder.

1,569

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Greatest Common Factor

We found the factors 569,492,187 . The biggest common factor number is the GCF number.
So the greatest common factor 569,492,187 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 976/569, 208/492, 364/187

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 976/569, 208/492, 364/187?

Answer: LCM of Numerators as per given numbers 976/569, 208/492, 364/187 is

LCM of Numerators i.e. for 976,208,364 is 88816

GCF of denominators i.e. for 569,492,187 is 1.

Thus, LCM of Fractions is 88816.Finally, LCM of Fractions for 976/569, 208/492, 364/187 is 88816.