Least Common Multiple of 1/840, 96/735, 28/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1/840, 96/735, 28/294 quickly i.e. 32 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/840, 96/735, 28/294 is 32.

LCM(1/840, 96/735, 28/294) = 32

LCM of 1/840, 96/735, 28/294

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 1/840,96/735,28/294

Given numbers are 1/840,96/735,28/294

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 1,96,28

Least Common Multiple of Numerators i.e. LCM of 1,96,28 is 672.

GCF of Denominators means GCF of 840,735,294 as per the given fractions.

GCF of 840,735,294 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,96,28

LCM of Fractions 1/840,96/735,28/294 is 32

2 1, 96, 28
2 1, 48, 14
1, 24, 7

∴ So the LCM of the given numbers is 2 x 2 x 1 x 24 x 7 = 672

Least Common Multiple of 1,96,28 with GCF Formula

Least Common Multiple of 1,96,28 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 1,96,28 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,96,28) = 1

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

GCF(1,96,28) x common factors =1 x 4 = 4

LCM(1,96,28) = ( 1 × 96 × 28 ) / 4

LCM(1,96,28) = 2688 / 4

LCM(1,96,28) = 672


Lets's calculate GCF of 840,735,294

3 840, 735, 294
7 280, 245, 98
40, 35, 14

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 672/21

Therefore the LCM of Fractions 1/840,96/735,28/294 is 32

Greatest Common Factor of 840,735,294 By Matching Biggest Common Factor Method

Greatest Common Factor of 840,735,294 By Matching Biggest Common Factor Method

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Greatest Common Factor

We found the factors 840,735,294 . The biggest common factor number is the GCF number.
So the greatest common factor 840,735,294 is 21.


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 1/840, 96/735, 28/294

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 1/840, 96/735, 28/294?

Answer: LCM of Numerators as per given numbers 1/840, 96/735, 28/294 is

LCM of Numerators i.e. for 1,96,28 is 672

GCF of denominators i.e. for 840,735,294 is 21.

Thus, LCM of Fractions is 32.Finally, LCM of Fractions for 1/840, 96/735, 28/294 is 32.