Least Common Multiple of 77/236, 53/778, 824/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/236, 53/778, 824/984 quickly i.e. 1681372 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/236, 53/778, 824/984 is 1681372.

LCM(77/236, 53/778, 824/984) = 1681372

LCM of 77/236, 53/778, 824/984

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 77/236,53/778,824/984

Given numbers are 77/236,53/778,824/984

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 77,53,824

Least Common Multiple of Numerators i.e. LCM of 77,53,824 is 3362744.

GCF of Denominators means GCF of 236,778,984 as per the given fractions.

GCF of 236,778,984 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,53,824

LCM of Fractions 77/236,53/778,824/984 is 1681372

Given numbers has no common factors except 1. So, there LCM is their product i.e 3362744

Least Common Multiple of 77,53,824 with GCF Formula

Least Common Multiple of 77,53,824 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 77,53,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,53,824) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(77,53,824) x common factors =1 x 1 = 1

LCM(77,53,824) = ( 77 × 53 × 824 ) / 1

LCM(77,53,824) = 3362744 / 1

LCM(77,53,824) = 3362744


Lets's calculate GCF of 236,778,984

2 236, 778, 984
118, 389, 492

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3362744/2

Therefore the LCM of Fractions 77/236,53/778,824/984 is 1681372

Greatest Common Factor of 236,778,984 By Matching Biggest Common Factor Method

Greatest Common Factor of 236,778,984 By Matching Biggest Common Factor Method

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Greatest Common Factor

We found the factors 236,778,984 . The biggest common factor number is the GCF number.
So the greatest common factor 236,778,984 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 77/236, 53/778, 824/984

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 77/236, 53/778, 824/984?

Answer: LCM of Numerators as per given numbers 77/236, 53/778, 824/984 is

LCM of Numerators i.e. for 77,53,824 is 3362744

GCF of denominators i.e. for 236,778,984 is 2.

Thus, LCM of Fractions is 1681372.Finally, LCM of Fractions for 77/236, 53/778, 824/984 is 1681372.