Least Common Multiple of 98/708, 6100/6408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/708, 6100/6408 quickly i.e. 298900/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/708, 6100/6408 is 298900/12.

LCM(98/708, 6100/6408) = 298900/12

LCM of 98/708, 6100/6408

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 98/708,6100/6408

Given numbers are 98/708,6100/6408

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 98,6100

Least Common Multiple of Numerators i.e. LCM of 98,6100 is 298900.

GCF of Denominators means GCF of 708,6408 as per the given fractions.

GCF of 708,6408 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,6100

LCM of Fractions 98/708,6100/6408 is 298900/12

2 98, 6100
49, 3050

∴ So the LCM of the given numbers is 2 x 49 x 3050 = 298900

Least Common Multiple of 98,6100 with GCF Formula

Least Common Multiple of 98,6100 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 98,6100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,6100) = 2

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

GCF(98,6100) x common factors =2 x 1 = 2

LCM(98,6100) = ( 98 × 6100 ) / 2

LCM(98,6100) = 597800 / 2

LCM(98,6100) = 298900


Lets's calculate GCF of 708,6408

2 708, 6408
2 354, 3204
3 177, 1602
59, 534

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 298900/12

Therefore the LCM of Fractions 98/708,6100/6408 is 298900/12

Greatest Common Factor of 708,6408 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,6408 By Matching Biggest Common Factor Method

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 6408

List of positive integer factors of 6408 that divides 6408 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,89,178,267,356,534,712,801,1068,1602,2136,3204,6408

Greatest Common Factor

We found the factors 708,6408 . The biggest common factor number is the GCF number.
So the greatest common factor 708,6408 is 12.


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 98/708, 6100/6408

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 98/708, 6100/6408?

Answer: LCM of Numerators as per given numbers 98/708, 6100/6408 is

LCM of Numerators i.e. for 98,6100 is 298900

GCF of denominators i.e. for 708,6408 is 12.

Thus, LCM of Fractions is 298900/12.Finally, LCM of Fractions for 98/708, 6100/6408 is 298900/12.