Least Common Multiple of 979/28, 548/62, 874/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 979/28, 548/62, 874/578 quickly i.e. 117223502 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 979/28, 548/62, 874/578 is 117223502.

LCM(979/28, 548/62, 874/578) = 117223502

LCM of 979/28, 548/62, 874/578

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 979/28,548/62,874/578

Given numbers are 979/28,548/62,874/578

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 979,548,874

Least Common Multiple of Numerators i.e. LCM of 979,548,874 is 234447004.

GCF of Denominators means GCF of 28,62,578 as per the given fractions.

GCF of 28,62,578 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 979,548,874

LCM of Fractions 979/28,548/62,874/578 is 117223502

2 979, 548, 874
979, 274, 437

∴ So the LCM of the given numbers is 2 x 979 x 274 x 437 = 234447004

Least Common Multiple of 979,548,874 with GCF Formula

Least Common Multiple of 979,548,874 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 979,548,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(979,548,874) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(979,548,874) x common factors =1 x 2 = 2

LCM(979,548,874) = ( 979 × 548 × 874 ) / 2

LCM(979,548,874) = 468894008 / 2

LCM(979,548,874) = 234447004


Lets's calculate GCF of 28,62,578

2 28, 62, 578
14, 31, 289

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 234447004/2

Therefore the LCM of Fractions 979/28,548/62,874/578 is 117223502

Greatest Common Factor of 28,62,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,62,578 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 28,62,578 . The biggest common factor number is the GCF number.
So the greatest common factor 28,62,578 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 979/28, 548/62, 874/578

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 979/28, 548/62, 874/578?

Answer: LCM of Numerators as per given numbers 979/28, 548/62, 874/578 is

LCM of Numerators i.e. for 979,548,874 is 234447004

GCF of denominators i.e. for 28,62,578 is 2.

Thus, LCM of Fractions is 117223502.Finally, LCM of Fractions for 979/28, 548/62, 874/578 is 117223502.