Least Common Multiple of 98/574, 6726/6404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/574, 6726/6404 quickly i.e. 164787 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/574, 6726/6404 is 164787.

LCM(98/574, 6726/6404) = 164787

LCM of 98/574, 6726/6404

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 98/574,6726/6404

Given numbers are 98/574,6726/6404

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 98,6726

Least Common Multiple of Numerators i.e. LCM of 98,6726 is 329574.

GCF of Denominators means GCF of 574,6404 as per the given fractions.

GCF of 574,6404 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,6726

LCM of Fractions 98/574,6726/6404 is 164787

2 98, 6726
49, 3363

∴ So the LCM of the given numbers is 2 x 49 x 3363 = 329574

Least Common Multiple of 98,6726 with GCF Formula

Least Common Multiple of 98,6726 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 98,6726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,6726) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(98,6726) x common factors =2 x 1 = 2

LCM(98,6726) = ( 98 × 6726 ) / 2

LCM(98,6726) = 659148 / 2

LCM(98,6726) = 329574


Lets's calculate GCF of 574,6404

2 574, 6404
287, 3202

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 329574/2

Therefore the LCM of Fractions 98/574,6726/6404 is 164787

Greatest Common Factor of 574,6404 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,6404 By Matching Biggest Common Factor Method

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 6404

List of positive integer factors of 6404 that divides 6404 without a remainder.

1,2,4,1601,3202,6404

Greatest Common Factor

We found the factors 574,6404 . The biggest common factor number is the GCF number.
So the greatest common factor 574,6404 is 2.


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 98/574, 6726/6404

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 98/574, 6726/6404?

Answer: LCM of Numerators as per given numbers 98/574, 6726/6404 is

LCM of Numerators i.e. for 98,6726 is 329574

GCF of denominators i.e. for 574,6404 is 2.

Thus, LCM of Fractions is 164787.Finally, LCM of Fractions for 98/574, 6726/6404 is 164787.