Least Common Multiple of 20/10, 88/92, 400/208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/10, 88/92, 400/208 quickly i.e. 2200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/10, 88/92, 400/208 is 2200.

LCM(20/10, 88/92, 400/208) = 2200

LCM of 20/10, 88/92, 400/208

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 20/10,88/92,400/208

Given numbers are 20/10,88/92,400/208

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 20,88,400

Least Common Multiple of Numerators i.e. LCM of 20,88,400 is 4400.

GCF of Denominators means GCF of 10,92,208 as per the given fractions.

GCF of 10,92,208 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,88,400

LCM of Fractions 20/10,88/92,400/208 is 2200

2 20, 88, 400
2 10, 44, 200
2 5, 22, 100
5 5, 11, 50
1, 11, 10

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 1 x 11 x 10 = 4400

Least Common Multiple of 20,88,400 with GCF Formula

Least Common Multiple of 20,88,400 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 20,88,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,88,400) = 4

common factors(in case of two or more numbers have common factors) = 40

GCF(20,88,400) x common factors =4 x 40 = 160

LCM(20,88,400) = ( 20 × 88 × 400 ) / 160

LCM(20,88,400) = 704000 / 160

LCM(20,88,400) = 4400


Lets's calculate GCF of 10,92,208

2 10, 92, 208
5, 46, 104

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4400/2

Therefore the LCM of Fractions 20/10,88/92,400/208 is 2200

Greatest Common Factor of 10,92,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,92,208 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 10,92,208 . The biggest common factor number is the GCF number.
So the greatest common factor 10,92,208 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 20/10, 88/92, 400/208

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 20/10, 88/92, 400/208?

Answer: LCM of Numerators as per given numbers 20/10, 88/92, 400/208 is

LCM of Numerators i.e. for 20,88,400 is 4400

GCF of denominators i.e. for 10,92,208 is 2.

Thus, LCM of Fractions is 2200.Finally, LCM of Fractions for 20/10, 88/92, 400/208 is 2200.