Least Common Multiple of 76/921, 564/336, 483/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/921, 564/336, 483/284 quickly i.e. 1725276 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/921, 564/336, 483/284 is 1725276.

LCM(76/921, 564/336, 483/284) = 1725276

LCM of 76/921, 564/336, 483/284

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 76/921,564/336,483/284

Given numbers are 76/921,564/336,483/284

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 76,564,483

Least Common Multiple of Numerators i.e. LCM of 76,564,483 is 1725276.

GCF of Denominators means GCF of 921,336,284 as per the given fractions.

GCF of 921,336,284 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,564,483

LCM of Fractions 76/921,564/336,483/284 is 1725276

2 76, 564, 483
2 38, 282, 483
3 19, 141, 483
19, 47, 161

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 47 x 161 = 1725276

Least Common Multiple of 76,564,483 with GCF Formula

Least Common Multiple of 76,564,483 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 76,564,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,564,483) = 1

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

GCF(76,564,483) x common factors =1 x 12 = 12

LCM(76,564,483) = ( 76 × 564 × 483 ) / 12

LCM(76,564,483) = 20703312 / 12

LCM(76,564,483) = 1725276


Lets's calculate GCF of 921,336,284

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1725276/1

Therefore the LCM of Fractions 76/921,564/336,483/284 is 1725276

Greatest Common Factor of 921,336,284 By Matching Biggest Common Factor Method

Greatest Common Factor of 921,336,284 By Matching Biggest Common Factor Method

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Greatest Common Factor

We found the factors 921,336,284 . The biggest common factor number is the GCF number.
So the greatest common factor 921,336,284 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 76/921, 564/336, 483/284

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 76/921, 564/336, 483/284?

Answer: LCM of Numerators as per given numbers 76/921, 564/336, 483/284 is

LCM of Numerators i.e. for 76,564,483 is 1725276

GCF of denominators i.e. for 921,336,284 is 1.

Thus, LCM of Fractions is 1725276.Finally, LCM of Fractions for 76/921, 564/336, 483/284 is 1725276.