Least Common Multiple of 20/622, 80/934, 942/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 20/622, 80/934, 942/149 quickly i.e. 37680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/622, 80/934, 942/149 is 37680.

LCM(20/622, 80/934, 942/149) = 37680

LCM of 20/622, 80/934, 942/149

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 20/622,80/934,942/149

Given numbers are 20/622,80/934,942/149

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 20,80,942

Least Common Multiple of Numerators i.e. LCM of 20,80,942 is 37680.

GCF of Denominators means GCF of 622,934,149 as per the given fractions.

GCF of 622,934,149 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,80,942

LCM of Fractions 20/622,80/934,942/149 is 37680

2 20, 80, 942
2 10, 40, 471
5 5, 20, 471
1, 4, 471

∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 4 x 471 = 37680

Least Common Multiple of 20,80,942 with GCF Formula

Least Common Multiple of 20,80,942 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 20,80,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,80,942) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(20,80,942) x common factors =2 x 20 = 40

LCM(20,80,942) = ( 20 × 80 × 942 ) / 40

LCM(20,80,942) = 1507200 / 40

LCM(20,80,942) = 37680


Lets's calculate GCF of 622,934,149

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37680/1

Therefore the LCM of Fractions 20/622,80/934,942/149 is 37680

Greatest Common Factor of 622,934,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 622,934,149 By Matching Biggest Common Factor Method

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Factors of 934

List of positive integer factors of 934 that divides 934 without a remainder.

1,2,467,934

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 622,934,149 . The biggest common factor number is the GCF number.
So the greatest common factor 622,934,149 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 20/622, 80/934, 942/149

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 20/622, 80/934, 942/149?

Answer: LCM of Numerators as per given numbers 20/622, 80/934, 942/149 is

LCM of Numerators i.e. for 20,80,942 is 37680

GCF of denominators i.e. for 622,934,149 is 1.

Thus, LCM of Fractions is 37680.Finally, LCM of Fractions for 20/622, 80/934, 942/149 is 37680.