Least Common Multiple of 98/557, 617/22, 730/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/557, 617/22, 730/820 quickly i.e. 22070090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/557, 617/22, 730/820 is 22070090.

LCM(98/557, 617/22, 730/820) = 22070090

LCM of 98/557, 617/22, 730/820

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 98/557,617/22,730/820

Given numbers are 98/557,617/22,730/820

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 98,617,730

Least Common Multiple of Numerators i.e. LCM of 98,617,730 is 22070090.

GCF of Denominators means GCF of 557,22,820 as per the given fractions.

GCF of 557,22,820 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,617,730

LCM of Fractions 98/557,617/22,730/820 is 22070090

2 98, 617, 730
49, 617, 365

∴ So the LCM of the given numbers is 2 x 49 x 617 x 365 = 22070090

Least Common Multiple of 98,617,730 with GCF Formula

Least Common Multiple of 98,617,730 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 98,617,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,617,730) = 1

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

GCF(98,617,730) x common factors =1 x 2 = 2

LCM(98,617,730) = ( 98 × 617 × 730 ) / 2

LCM(98,617,730) = 44140180 / 2

LCM(98,617,730) = 22070090


Lets's calculate GCF of 557,22,820

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22070090/1

Therefore the LCM of Fractions 98/557,617/22,730/820 is 22070090

Greatest Common Factor of 557,22,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 557,22,820 By Matching Biggest Common Factor Method

Factors of 557

List of positive integer factors of 557 that divides 557 without a remainder.

1,557

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 557,22,820 . The biggest common factor number is the GCF number.
So the greatest common factor 557,22,820 is 1.


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 98/557, 617/22, 730/820

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 98/557, 617/22, 730/820?

Answer: LCM of Numerators as per given numbers 98/557, 617/22, 730/820 is

LCM of Numerators i.e. for 98,617,730 is 22070090

GCF of denominators i.e. for 557,22,820 is 1.

Thus, LCM of Fractions is 22070090.Finally, LCM of Fractions for 98/557, 617/22, 730/820 is 22070090.