Least Common Multiple of 98/204, 273/349, 137/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/204, 273/349, 137/726 quickly i.e. 523614 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/204, 273/349, 137/726 is 523614.

LCM(98/204, 273/349, 137/726) = 523614

LCM of 98/204, 273/349, 137/726

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 98/204,273/349,137/726

Given numbers are 98/204,273/349,137/726

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 98,273,137

Least Common Multiple of Numerators i.e. LCM of 98,273,137 is 523614.

GCF of Denominators means GCF of 204,349,726 as per the given fractions.

GCF of 204,349,726 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,273,137

LCM of Fractions 98/204,273/349,137/726 is 523614

7 98, 273, 137
14, 39, 137

∴ So the LCM of the given numbers is 7 x 14 x 39 x 137 = 523614

Least Common Multiple of 98,273,137 with GCF Formula

Least Common Multiple of 98,273,137 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 98,273,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,273,137) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(98,273,137) x common factors =1 x 7 = 7

LCM(98,273,137) = ( 98 × 273 × 137 ) / 7

LCM(98,273,137) = 3665298 / 7

LCM(98,273,137) = 523614


Lets's calculate GCF of 204,349,726

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 523614/1

Therefore the LCM of Fractions 98/204,273/349,137/726 is 523614

Greatest Common Factor of 204,349,726 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,349,726 By Matching Biggest Common Factor Method

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors 204,349,726 . The biggest common factor number is the GCF number.
So the greatest common factor 204,349,726 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 98/204, 273/349, 137/726

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 98/204, 273/349, 137/726?

Answer: LCM of Numerators as per given numbers 98/204, 273/349, 137/726 is

LCM of Numerators i.e. for 98,273,137 is 523614

GCF of denominators i.e. for 204,349,726 is 1.

Thus, LCM of Fractions is 523614.Finally, LCM of Fractions for 98/204, 273/349, 137/726 is 523614.