Least Common Multiple of 679/248, 4960/372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 679/248, 4960/372 quickly i.e. 27160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 679/248, 4960/372 is 27160.

LCM(679/248, 4960/372) = 27160

LCM of 679/248, 4960/372

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 679/248,4960/372

Given numbers are 679/248,4960/372

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 679,4960

Least Common Multiple of Numerators i.e. LCM of 679,4960 is 3367840.

GCF of Denominators means GCF of 248,372 as per the given fractions.

GCF of 248,372 is 124 as it is the largest common factor for these numbers.

Lets's calculate LCM of 679,4960

LCM of Fractions 679/248,4960/372 is 27160

Given numbers has no common factors except 1. So, there LCM is their product i.e 3367840

Least Common Multiple of 679,4960 with GCF Formula

Least Common Multiple of 679,4960 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 679,4960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(679,4960) = 1

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

GCF(679,4960) x common factors =1 x 1 = 1

LCM(679,4960) = ( 679 × 4960 ) / 1

LCM(679,4960) = 3367840 / 1

LCM(679,4960) = 3367840


Lets's calculate GCF of 248,372

2 248, 372
2 124, 186
31 62, 93
2, 3

∴ So the GCF of the given numbers is 2 x 2 x 31 = 124

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3367840/124

Therefore the LCM of Fractions 679/248,4960/372 is 27160

Greatest Common Factor of 248,372 By Matching Biggest Common Factor Method

Greatest Common Factor of 248,372 By Matching Biggest Common Factor Method

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Greatest Common Factor

We found the factors 248,372 . The biggest common factor number is the GCF number.
So the greatest common factor 248,372 is 124.


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Frequently Asked Questions on Fractional LCM of 679/248, 4960/372

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 679/248, 4960/372?

Answer: LCM of Numerators as per given numbers 679/248, 4960/372 is

LCM of Numerators i.e. for 679,4960 is 3367840

GCF of denominators i.e. for 248,372 is 124.

Thus, LCM of Fractions is 27160.Finally, LCM of Fractions for 679/248, 4960/372 is 27160.