Least Common Multiple of 98/51, 63/71, 23/16, 98/337

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 98/51, 63/71, 23/16, 98/337 quickly i.e. 20286 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/51, 63/71, 23/16, 98/337 is 20286.

LCM(98/51, 63/71, 23/16, 98/337) = 20286

LCM of 98/51, 63/71, 23/16, 98/337

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 98/51,63/71,23/16,98/337

Given numbers are 98/51,63/71,23/16,98/337

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 98,63,23,98

Least Common Multiple of Numerators i.e. LCM of 98,63,23,98 is 20286.

GCF of Denominators means GCF of 51,71,16,337 as per the given fractions.

GCF of 51,71,16,337 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,63,23,98

LCM of Fractions 98/51,63/71,23/16,98/337 is 20286

2 98, 63, 23, 98
7 49, 63, 23, 49
7 7, 9, 23, 7
1, 9, 23, 1

∴ So the LCM of the given numbers is 2 x 7 x 7 x 1 x 9 x 23 x 1 = 20286

Least Common Multiple of 98,63,23,98 with GCF Formula

Least Common Multiple of 98,63,23,98 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 98,63,23,98 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,63,23,98) = 1

common factors(in case of two or more numbers have common factors) = 686

GCF(98,63,23,98) x common factors =1 x 686 = 686

LCM(98,63,23,98) = ( 98 × 63 × 23 × 98 ) / 686

LCM(98,63,23,98) = 13916196 / 686

LCM(98,63,23,98) = 20286


Lets's calculate GCF of 51,71,16,337

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20286/1

Therefore the LCM of Fractions 98/51,63/71,23/16,98/337 is 20286

Greatest Common Factor of 51,71,16,337 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,71,16,337 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1,337

Greatest Common Factor

We found the factors 51,71,16,337 . The biggest common factor number is the GCF number.
So the greatest common factor 51,71,16,337 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 98/51, 63/71, 23/16, 98/337

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 98/51, 63/71, 23/16, 98/337?

Answer: LCM of Numerators as per given numbers 98/51, 63/71, 23/16, 98/337 is

LCM of Numerators i.e. for 98,63,23,98 is 20286

GCF of denominators i.e. for 51,71,16,337 is 1.

Thus, LCM of Fractions is 20286.Finally, LCM of Fractions for 98/51, 63/71, 23/16, 98/337 is 20286.