Least Common Multiple of 11/20, 29/38, 92/24, 76/862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/20, 29/38, 92/24, 76/862 quickly i.e. 278806 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/20, 29/38, 92/24, 76/862 is 278806.

LCM(11/20, 29/38, 92/24, 76/862) = 278806

LCM of 11/20, 29/38, 92/24, 76/862

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 11/20,29/38,92/24,76/862

Given numbers are 11/20,29/38,92/24,76/862

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 11,29,92,76

Least Common Multiple of Numerators i.e. LCM of 11,29,92,76 is 557612.

GCF of Denominators means GCF of 20,38,24,862 as per the given fractions.

GCF of 20,38,24,862 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,29,92,76

LCM of Fractions 11/20,29/38,92/24,76/862 is 278806

2 11, 29, 92, 76
2 11, 29, 46, 38
11, 29, 23, 19

∴ So the LCM of the given numbers is 2 x 2 x 11 x 29 x 23 x 19 = 557612

Least Common Multiple of 11,29,92,76 with GCF Formula

Least Common Multiple of 11,29,92,76 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 11,29,92,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,29,92,76) = 1

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

GCF(11,29,92,76) x common factors =1 x 4 = 4

LCM(11,29,92,76) = ( 11 × 29 × 92 × 76 ) / 4

LCM(11,29,92,76) = 2230448 / 4

LCM(11,29,92,76) = 557612


Lets's calculate GCF of 20,38,24,862

2 20, 38, 24, 862
10, 19, 12, 431

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 557612/2

Therefore the LCM of Fractions 11/20,29/38,92/24,76/862 is 278806

Greatest Common Factor of 20,38,24,862 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,38,24,862 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Greatest Common Factor

We found the factors 20,38,24,862 . The biggest common factor number is the GCF number.
So the greatest common factor 20,38,24,862 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 11/20, 29/38, 92/24, 76/862

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 11/20, 29/38, 92/24, 76/862?

Answer: LCM of Numerators as per given numbers 11/20, 29/38, 92/24, 76/862 is

LCM of Numerators i.e. for 11,29,92,76 is 557612

GCF of denominators i.e. for 20,38,24,862 is 2.

Thus, LCM of Fractions is 278806.Finally, LCM of Fractions for 11/20, 29/38, 92/24, 76/862 is 278806.