Least Common Multiple of 752/484, 143/854, 297/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 752/484, 143/854, 297/646 quickly i.e. 1451736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 752/484, 143/854, 297/646 is 1451736.

LCM(752/484, 143/854, 297/646) = 1451736

LCM of 752/484, 143/854, 297/646

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 752/484,143/854,297/646

Given numbers are 752/484,143/854,297/646

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 752,143,297

Least Common Multiple of Numerators i.e. LCM of 752,143,297 is 2903472.

GCF of Denominators means GCF of 484,854,646 as per the given fractions.

GCF of 484,854,646 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 752,143,297

LCM of Fractions 752/484,143/854,297/646 is 1451736

11 752, 143, 297
752, 13, 27

∴ So the LCM of the given numbers is 11 x 752 x 13 x 27 = 2903472

Least Common Multiple of 752,143,297 with GCF Formula

Least Common Multiple of 752,143,297 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 752,143,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(752,143,297) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(752,143,297) x common factors =1 x 11 = 11

LCM(752,143,297) = ( 752 × 143 × 297 ) / 11

LCM(752,143,297) = 31938192 / 11

LCM(752,143,297) = 2903472


Lets's calculate GCF of 484,854,646

2 484, 854, 646
242, 427, 323

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2903472/2

Therefore the LCM of Fractions 752/484,143/854,297/646 is 1451736

Greatest Common Factor of 484,854,646 By Matching Biggest Common Factor Method

Greatest Common Factor of 484,854,646 By Matching Biggest Common Factor Method

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Greatest Common Factor

We found the factors 484,854,646 . The biggest common factor number is the GCF number.
So the greatest common factor 484,854,646 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 752/484, 143/854, 297/646

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 752/484, 143/854, 297/646?

Answer: LCM of Numerators as per given numbers 752/484, 143/854, 297/646 is

LCM of Numerators i.e. for 752,143,297 is 2903472

GCF of denominators i.e. for 484,854,646 is 2.

Thus, LCM of Fractions is 1451736.Finally, LCM of Fractions for 752/484, 143/854, 297/646 is 1451736.