Least Common Multiple of 77/960, 678/414, 928/842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/960, 678/414, 928/842 quickly i.e. 12111792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/960, 678/414, 928/842 is 12111792.

LCM(77/960, 678/414, 928/842) = 12111792

LCM of 77/960, 678/414, 928/842

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 77/960,678/414,928/842

Given numbers are 77/960,678/414,928/842

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 77,678,928

Least Common Multiple of Numerators i.e. LCM of 77,678,928 is 24223584.

GCF of Denominators means GCF of 960,414,842 as per the given fractions.

GCF of 960,414,842 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,678,928

LCM of Fractions 77/960,678/414,928/842 is 12111792

2 77, 678, 928
77, 339, 464

∴ So the LCM of the given numbers is 2 x 77 x 339 x 464 = 24223584

Least Common Multiple of 77,678,928 with GCF Formula

Least Common Multiple of 77,678,928 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 77,678,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,678,928) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(77,678,928) x common factors =1 x 2 = 2

LCM(77,678,928) = ( 77 × 678 × 928 ) / 2

LCM(77,678,928) = 48447168 / 2

LCM(77,678,928) = 24223584


Lets's calculate GCF of 960,414,842

2 960, 414, 842
480, 207, 421

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24223584/2

Therefore the LCM of Fractions 77/960,678/414,928/842 is 12111792

Greatest Common Factor of 960,414,842 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,414,842 By Matching Biggest Common Factor Method

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Greatest Common Factor

We found the factors 960,414,842 . The biggest common factor number is the GCF number.
So the greatest common factor 960,414,842 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 77/960, 678/414, 928/842

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 77/960, 678/414, 928/842?

Answer: LCM of Numerators as per given numbers 77/960, 678/414, 928/842 is

LCM of Numerators i.e. for 77,678,928 is 24223584

GCF of denominators i.e. for 960,414,842 is 2.

Thus, LCM of Fractions is 12111792.Finally, LCM of Fractions for 77/960, 678/414, 928/842 is 12111792.