Least Common Multiple of 97/98, 98/30, 104/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 97/98, 98/30, 104/426 quickly i.e. 247156 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/98, 98/30, 104/426 is 247156.

LCM(97/98, 98/30, 104/426) = 247156

LCM of 97/98, 98/30, 104/426

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 97/98,98/30,104/426

Given numbers are 97/98,98/30,104/426

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 97,98,104

Least Common Multiple of Numerators i.e. LCM of 97,98,104 is 494312.

GCF of Denominators means GCF of 98,30,426 as per the given fractions.

GCF of 98,30,426 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,98,104

LCM of Fractions 97/98,98/30,104/426 is 247156

2 97, 98, 104
97, 49, 52

∴ So the LCM of the given numbers is 2 x 97 x 49 x 52 = 494312

Least Common Multiple of 97,98,104 with GCF Formula

Least Common Multiple of 97,98,104 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 97,98,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,98,104) = 1

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

GCF(97,98,104) x common factors =1 x 2 = 2

LCM(97,98,104) = ( 97 × 98 × 104 ) / 2

LCM(97,98,104) = 988624 / 2

LCM(97,98,104) = 494312


Lets's calculate GCF of 98,30,426

2 98, 30, 426
49, 15, 213

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 494312/2

Therefore the LCM of Fractions 97/98,98/30,104/426 is 247156

Greatest Common Factor of 98,30,426 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,30,426 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 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Greatest Common Factor

We found the factors 98,30,426 . The biggest common factor number is the GCF number.
So the greatest common factor 98,30,426 is 2.


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Frequently Asked Questions on Fractional LCM of 97/98, 98/30, 104/426

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 97/98, 98/30, 104/426?

Answer: LCM of Numerators as per given numbers 97/98, 98/30, 104/426 is

LCM of Numerators i.e. for 97,98,104 is 494312

GCF of denominators i.e. for 98,30,426 is 2.

Thus, LCM of Fractions is 247156.Finally, LCM of Fractions for 97/98, 98/30, 104/426 is 247156.