Least Common Multiple of 764/365, 800/676, 252/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 764/365, 800/676, 252/924 quickly i.e. 9626400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 764/365, 800/676, 252/924 is 9626400.

LCM(764/365, 800/676, 252/924) = 9626400

LCM of 764/365, 800/676, 252/924

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 764/365,800/676,252/924

Given numbers are 764/365,800/676,252/924

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 764,800,252

Least Common Multiple of Numerators i.e. LCM of 764,800,252 is 9626400.

GCF of Denominators means GCF of 365,676,924 as per the given fractions.

GCF of 365,676,924 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 764,800,252

LCM of Fractions 764/365,800/676,252/924 is 9626400

2 764, 800, 252
2 382, 400, 126
191, 200, 63

∴ So the LCM of the given numbers is 2 x 2 x 191 x 200 x 63 = 9626400

Least Common Multiple of 764,800,252 with GCF Formula

Least Common Multiple of 764,800,252 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 764,800,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(764,800,252) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(764,800,252) x common factors =4 x 4 = 16

LCM(764,800,252) = ( 764 × 800 × 252 ) / 16

LCM(764,800,252) = 154022400 / 16

LCM(764,800,252) = 9626400


Lets's calculate GCF of 365,676,924

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9626400/1

Therefore the LCM of Fractions 764/365,800/676,252/924 is 9626400

Greatest Common Factor of 365,676,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 365,676,924 By Matching Biggest Common Factor Method

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 365,676,924 . The biggest common factor number is the GCF number.
So the greatest common factor 365,676,924 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 764/365, 800/676, 252/924

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 764/365, 800/676, 252/924?

Answer: LCM of Numerators as per given numbers 764/365, 800/676, 252/924 is

LCM of Numerators i.e. for 764,800,252 is 9626400

GCF of denominators i.e. for 365,676,924 is 1.

Thus, LCM of Fractions is 9626400.Finally, LCM of Fractions for 764/365, 800/676, 252/924 is 9626400.