Least Common Multiple of 42/46, 896/96, 780/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/46, 896/96, 780/672 quickly i.e. 87360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/46, 896/96, 780/672 is 87360.

LCM(42/46, 896/96, 780/672) = 87360

LCM of 42/46, 896/96, 780/672

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 42/46,896/96,780/672

Given numbers are 42/46,896/96,780/672

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 42,896,780

Least Common Multiple of Numerators i.e. LCM of 42,896,780 is 174720.

GCF of Denominators means GCF of 46,96,672 as per the given fractions.

GCF of 46,96,672 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,896,780

LCM of Fractions 42/46,896/96,780/672 is 87360

2 42, 896, 780
2 21, 448, 390
3 21, 224, 195
7 7, 224, 65
1, 32, 65

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 32 x 65 = 174720

Least Common Multiple of 42,896,780 with GCF Formula

Least Common Multiple of 42,896,780 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 42,896,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,896,780) = 2

common factors(in case of two or more numbers have common factors) = 84

GCF(42,896,780) x common factors =2 x 84 = 168

LCM(42,896,780) = ( 42 × 896 × 780 ) / 168

LCM(42,896,780) = 29352960 / 168

LCM(42,896,780) = 174720


Lets's calculate GCF of 46,96,672

2 46, 96, 672
23, 48, 336

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 174720/2

Therefore the LCM of Fractions 42/46,896/96,780/672 is 87360

Greatest Common Factor of 46,96,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,96,672 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 46,96,672 . The biggest common factor number is the GCF number.
So the greatest common factor 46,96,672 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 42/46, 896/96, 780/672

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 42/46, 896/96, 780/672?

Answer: LCM of Numerators as per given numbers 42/46, 896/96, 780/672 is

LCM of Numerators i.e. for 42,896,780 is 174720

GCF of denominators i.e. for 46,96,672 is 2.

Thus, LCM of Fractions is 87360.Finally, LCM of Fractions for 42/46, 896/96, 780/672 is 87360.