Least Common Multiple of 97/901, 604/648, 968/196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 97/901, 604/648, 968/196 quickly i.e. 14178296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/901, 604/648, 968/196 is 14178296.

LCM(97/901, 604/648, 968/196) = 14178296

LCM of 97/901, 604/648, 968/196

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 97/901,604/648,968/196

Given numbers are 97/901,604/648,968/196

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 97,604,968

Least Common Multiple of Numerators i.e. LCM of 97,604,968 is 14178296.

GCF of Denominators means GCF of 901,648,196 as per the given fractions.

GCF of 901,648,196 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,604,968

LCM of Fractions 97/901,604/648,968/196 is 14178296

2 97, 604, 968
2 97, 302, 484
97, 151, 242

∴ So the LCM of the given numbers is 2 x 2 x 97 x 151 x 242 = 14178296

Least Common Multiple of 97,604,968 with GCF Formula

Least Common Multiple of 97,604,968 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 97,604,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,604,968) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(97,604,968) x common factors =1 x 4 = 4

LCM(97,604,968) = ( 97 × 604 × 968 ) / 4

LCM(97,604,968) = 56713184 / 4

LCM(97,604,968) = 14178296


Lets's calculate GCF of 901,648,196

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14178296/1

Therefore the LCM of Fractions 97/901,604/648,968/196 is 14178296

Greatest Common Factor of 901,648,196 By Matching Biggest Common Factor Method

Greatest Common Factor of 901,648,196 By Matching Biggest Common Factor Method

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Greatest Common Factor

We found the factors 901,648,196 . The biggest common factor number is the GCF number.
So the greatest common factor 901,648,196 is 1.


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Frequently Asked Questions on Fractional LCM of 97/901, 604/648, 968/196

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 97/901, 604/648, 968/196?

Answer: LCM of Numerators as per given numbers 97/901, 604/648, 968/196 is

LCM of Numerators i.e. for 97,604,968 is 14178296

GCF of denominators i.e. for 901,648,196 is 1.

Thus, LCM of Fractions is 14178296.Finally, LCM of Fractions for 97/901, 604/648, 968/196 is 14178296.