Least Common Multiple of 61/708, 2098/3328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 61/708, 2098/3328 quickly i.e. 127978/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/708, 2098/3328 is 127978/4.

LCM(61/708, 2098/3328) = 127978/4

LCM of 61/708, 2098/3328

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 61/708,2098/3328

Given numbers are 61/708,2098/3328

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 61,2098

Least Common Multiple of Numerators i.e. LCM of 61,2098 is 127978.

GCF of Denominators means GCF of 708,3328 as per the given fractions.

GCF of 708,3328 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,2098

LCM of Fractions 61/708,2098/3328 is 127978/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 127978

Least Common Multiple of 61,2098 with GCF Formula

Least Common Multiple of 61,2098 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 61,2098 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,2098) = 1

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

GCF(61,2098) x common factors =1 x 1 = 1

LCM(61,2098) = ( 61 × 2098 ) / 1

LCM(61,2098) = 127978 / 1

LCM(61,2098) = 127978


Lets's calculate GCF of 708,3328

2 708, 3328
2 354, 1664
177, 832

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 127978/4

Therefore the LCM of Fractions 61/708,2098/3328 is 127978/4

Greatest Common Factor of 708,3328 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,3328 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 3328

List of positive integer factors of 3328 that divides 3328 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,128,208,256,416,832,1664,3328

Greatest Common Factor

We found the factors 708,3328 . The biggest common factor number is the GCF number.
So the greatest common factor 708,3328 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 61/708, 2098/3328

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 61/708, 2098/3328?

Answer: LCM of Numerators as per given numbers 61/708, 2098/3328 is

LCM of Numerators i.e. for 61,2098 is 127978

GCF of denominators i.e. for 708,3328 is 4.

Thus, LCM of Fractions is 127978/4.Finally, LCM of Fractions for 61/708, 2098/3328 is 127978/4.