Least Common Multiple of 2/84, 4/90, 6/40, 76/896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2/84, 4/90, 6/40, 76/896 quickly i.e. 114 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2/84, 4/90, 6/40, 76/896 is 114.

LCM(2/84, 4/90, 6/40, 76/896) = 114

LCM of 2/84, 4/90, 6/40, 76/896

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 2/84,4/90,6/40,76/896

Given numbers are 2/84,4/90,6/40,76/896

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 2,4,6,76

Least Common Multiple of Numerators i.e. LCM of 2,4,6,76 is 228.

GCF of Denominators means GCF of 84,90,40,896 as per the given fractions.

GCF of 84,90,40,896 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2,4,6,76

LCM of Fractions 2/84,4/90,6/40,76/896 is 114

2 2, 4, 6, 76
2 1, 2, 3, 38
1, 1, 3, 19

∴ So the LCM of the given numbers is 2 x 2 x 1 x 1 x 3 x 19 = 228

Least Common Multiple of 2,4,6,76 with GCF Formula

Least Common Multiple of 2,4,6,76 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 2,4,6,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2,4,6,76) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(2,4,6,76) x common factors =2 x 8 = 16

LCM(2,4,6,76) = ( 2 × 4 × 6 × 76 ) / 16

LCM(2,4,6,76) = 3648 / 16

LCM(2,4,6,76) = 228


Lets's calculate GCF of 84,90,40,896

2 84, 90, 40, 896
42, 45, 20, 448

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 228/2

Therefore the LCM of Fractions 2/84,4/90,6/40,76/896 is 114

Greatest Common Factor of 84,90,40,896 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,90,40,896 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Greatest Common Factor

We found the factors 84,90,40,896 . The biggest common factor number is the GCF number.
So the greatest common factor 84,90,40,896 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 2/84, 4/90, 6/40, 76/896

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 2/84, 4/90, 6/40, 76/896?

Answer: LCM of Numerators as per given numbers 2/84, 4/90, 6/40, 76/896 is

LCM of Numerators i.e. for 2,4,6,76 is 228

GCF of denominators i.e. for 84,90,40,896 is 2.

Thus, LCM of Fractions is 114.Finally, LCM of Fractions for 2/84, 4/90, 6/40, 76/896 is 114.