Least Common Multiple of 11/98, 64/820, 344/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 11/98, 64/820, 344/168 quickly i.e. 15136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/98, 64/820, 344/168 is 15136.

LCM(11/98, 64/820, 344/168) = 15136

LCM of 11/98, 64/820, 344/168

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 11/98,64/820,344/168

Given numbers are 11/98,64/820,344/168

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 11,64,344

Least Common Multiple of Numerators i.e. LCM of 11,64,344 is 30272.

GCF of Denominators means GCF of 98,820,168 as per the given fractions.

GCF of 98,820,168 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,64,344

LCM of Fractions 11/98,64/820,344/168 is 15136

2 11, 64, 344
2 11, 32, 172
2 11, 16, 86
11, 8, 43

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 8 x 43 = 30272

Least Common Multiple of 11,64,344 with GCF Formula

Least Common Multiple of 11,64,344 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 11,64,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,64,344) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(11,64,344) x common factors =1 x 8 = 8

LCM(11,64,344) = ( 11 × 64 × 344 ) / 8

LCM(11,64,344) = 242176 / 8

LCM(11,64,344) = 30272


Lets's calculate GCF of 98,820,168

2 98, 820, 168
49, 410, 84

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30272/2

Therefore the LCM of Fractions 11/98,64/820,344/168 is 15136

Greatest Common Factor of 98,820,168 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,820,168 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Greatest Common Factor

We found the factors 98,820,168 . The biggest common factor number is the GCF number.
So the greatest common factor 98,820,168 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 11/98, 64/820, 344/168

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 11/98, 64/820, 344/168?

Answer: LCM of Numerators as per given numbers 11/98, 64/820, 344/168 is

LCM of Numerators i.e. for 11,64,344 is 30272

GCF of denominators i.e. for 98,820,168 is 2.

Thus, LCM of Fractions is 15136.Finally, LCM of Fractions for 11/98, 64/820, 344/168 is 15136.