Least Common Multiple of 72/98, 318/97, 649/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/98, 318/97, 649/225 quickly i.e. 2476584 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/98, 318/97, 649/225 is 2476584.

LCM(72/98, 318/97, 649/225) = 2476584

LCM of 72/98, 318/97, 649/225

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 72/98,318/97,649/225

Given numbers are 72/98,318/97,649/225

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 72,318,649

Least Common Multiple of Numerators i.e. LCM of 72,318,649 is 2476584.

GCF of Denominators means GCF of 98,97,225 as per the given fractions.

GCF of 98,97,225 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,318,649

LCM of Fractions 72/98,318/97,649/225 is 2476584

2 72, 318, 649
3 36, 159, 649
12, 53, 649

∴ So the LCM of the given numbers is 2 x 3 x 12 x 53 x 649 = 2476584

Least Common Multiple of 72,318,649 with GCF Formula

Least Common Multiple of 72,318,649 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 72,318,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,318,649) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(72,318,649) x common factors =1 x 6 = 6

LCM(72,318,649) = ( 72 × 318 × 649 ) / 6

LCM(72,318,649) = 14859504 / 6

LCM(72,318,649) = 2476584


Lets's calculate GCF of 98,97,225

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2476584/1

Therefore the LCM of Fractions 72/98,318/97,649/225 is 2476584

Greatest Common Factor of 98,97,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,97,225 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 97

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

1,97

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 98,97,225 . The biggest common factor number is the GCF number.
So the greatest common factor 98,97,225 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 72/98, 318/97, 649/225

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 72/98, 318/97, 649/225?

Answer: LCM of Numerators as per given numbers 72/98, 318/97, 649/225 is

LCM of Numerators i.e. for 72,318,649 is 2476584

GCF of denominators i.e. for 98,97,225 is 1.

Thus, LCM of Fractions is 2476584.Finally, LCM of Fractions for 72/98, 318/97, 649/225 is 2476584.