Least Common Multiple of 708/98, 892/63, 844/679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 708/98, 892/63, 844/679 quickly i.e. 33313524/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 708/98, 892/63, 844/679 is 33313524/7.

LCM(708/98, 892/63, 844/679) = 33313524/7

LCM of 708/98, 892/63, 844/679

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 708/98,892/63,844/679

Given numbers are 708/98,892/63,844/679

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 708,892,844

Least Common Multiple of Numerators i.e. LCM of 708,892,844 is 33313524.

GCF of Denominators means GCF of 98,63,679 as per the given fractions.

GCF of 98,63,679 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 708,892,844

LCM of Fractions 708/98,892/63,844/679 is 33313524/7

2 708, 892, 844
2 354, 446, 422
177, 223, 211

∴ So the LCM of the given numbers is 2 x 2 x 177 x 223 x 211 = 33313524

Least Common Multiple of 708,892,844 with GCF Formula

Least Common Multiple of 708,892,844 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 708,892,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(708,892,844) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(708,892,844) x common factors =4 x 4 = 16

LCM(708,892,844) = ( 708 × 892 × 844 ) / 16

LCM(708,892,844) = 533016384 / 16

LCM(708,892,844) = 33313524


Lets's calculate GCF of 98,63,679

7 98, 63, 679
14, 9, 97

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33313524/7

Therefore the LCM of Fractions 708/98,892/63,844/679 is 33313524/7

Greatest Common Factor of 98,63,679 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,63,679 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 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Greatest Common Factor

We found the factors 98,63,679 . The biggest common factor number is the GCF number.
So the greatest common factor 98,63,679 is 7.


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Frequently Asked Questions on Fractional LCM of 708/98, 892/63, 844/679

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 708/98, 892/63, 844/679?

Answer: LCM of Numerators as per given numbers 708/98, 892/63, 844/679 is

LCM of Numerators i.e. for 708,892,844 is 33313524

GCF of denominators i.e. for 98,63,679 is 7.

Thus, LCM of Fractions is 33313524/7.Finally, LCM of Fractions for 708/98, 892/63, 844/679 is 33313524/7.