Least Common Multiple of 392/960, 4644/777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 392/960, 4644/777 quickly i.e. 151704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 392/960, 4644/777 is 151704.

LCM(392/960, 4644/777) = 151704

LCM of 392/960, 4644/777

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 392/960,4644/777

Given numbers are 392/960,4644/777

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 392,4644

Least Common Multiple of Numerators i.e. LCM of 392,4644 is 455112.

GCF of Denominators means GCF of 960,777 as per the given fractions.

GCF of 960,777 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 392,4644

LCM of Fractions 392/960,4644/777 is 151704

2 392, 4644
2 196, 2322
98, 1161

∴ So the LCM of the given numbers is 2 x 2 x 98 x 1161 = 455112

Least Common Multiple of 392,4644 with GCF Formula

Least Common Multiple of 392,4644 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 392,4644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,4644) = 4

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

GCF(392,4644) x common factors =4 x 1 = 4

LCM(392,4644) = ( 392 × 4644 ) / 4

LCM(392,4644) = 1820448 / 4

LCM(392,4644) = 455112


Lets's calculate GCF of 960,777

3 960, 777
320, 259

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 455112/3

Therefore the LCM of Fractions 392/960,4644/777 is 151704

Greatest Common Factor of 960,777 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,777 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 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Greatest Common Factor

We found the factors 960,777 . The biggest common factor number is the GCF number.
So the greatest common factor 960,777 is 3.


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 392/960, 4644/777

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 392/960, 4644/777?

Answer: LCM of Numerators as per given numbers 392/960, 4644/777 is

LCM of Numerators i.e. for 392,4644 is 455112

GCF of denominators i.e. for 960,777 is 3.

Thus, LCM of Fractions is 151704.Finally, LCM of Fractions for 392/960, 4644/777 is 151704.