Least Common Multiple of 544/79, 683/97, 490/220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 544/79, 683/97, 490/220 quickly i.e. 91030240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 544/79, 683/97, 490/220 is 91030240.

LCM(544/79, 683/97, 490/220) = 91030240

LCM of 544/79, 683/97, 490/220

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 544/79,683/97,490/220

Given numbers are 544/79,683/97,490/220

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 544,683,490

Least Common Multiple of Numerators i.e. LCM of 544,683,490 is 91030240.

GCF of Denominators means GCF of 79,97,220 as per the given fractions.

GCF of 79,97,220 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 544,683,490

LCM of Fractions 544/79,683/97,490/220 is 91030240

2 544, 683, 490
272, 683, 245

∴ So the LCM of the given numbers is 2 x 272 x 683 x 245 = 91030240

Least Common Multiple of 544,683,490 with GCF Formula

Least Common Multiple of 544,683,490 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 544,683,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(544,683,490) = 1

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

GCF(544,683,490) x common factors =1 x 2 = 2

LCM(544,683,490) = ( 544 × 683 × 490 ) / 2

LCM(544,683,490) = 182060480 / 2

LCM(544,683,490) = 91030240


Lets's calculate GCF of 79,97,220

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91030240/1

Therefore the LCM of Fractions 544/79,683/97,490/220 is 91030240

Greatest Common Factor of 79,97,220 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,97,220 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Greatest Common Factor

We found the factors 79,97,220 . The biggest common factor number is the GCF number.
So the greatest common factor 79,97,220 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 544/79, 683/97, 490/220

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 544/79, 683/97, 490/220?

Answer: LCM of Numerators as per given numbers 544/79, 683/97, 490/220 is

LCM of Numerators i.e. for 544,683,490 is 91030240

GCF of denominators i.e. for 79,97,220 is 1.

Thus, LCM of Fractions is 91030240.Finally, LCM of Fractions for 544/79, 683/97, 490/220 is 91030240.