Least Common Multiple of 8598/376, 1796/5772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8598/376, 1796/5772 quickly i.e. 1930251 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8598/376, 1796/5772 is 1930251.

LCM(8598/376, 1796/5772) = 1930251

LCM of 8598/376, 1796/5772

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 8598/376,1796/5772

Given numbers are 8598/376,1796/5772

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 8598,1796

Least Common Multiple of Numerators i.e. LCM of 8598,1796 is 7721004.

GCF of Denominators means GCF of 376,5772 as per the given fractions.

GCF of 376,5772 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8598,1796

LCM of Fractions 8598/376,1796/5772 is 1930251

2 8598, 1796
4299, 898

∴ So the LCM of the given numbers is 2 x 4299 x 898 = 7721004

Least Common Multiple of 8598,1796 with GCF Formula

Least Common Multiple of 8598,1796 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 8598,1796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8598,1796) = 2

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

GCF(8598,1796) x common factors =2 x 1 = 2

LCM(8598,1796) = ( 8598 × 1796 ) / 2

LCM(8598,1796) = 15442008 / 2

LCM(8598,1796) = 7721004


Lets's calculate GCF of 376,5772

2 376, 5772
2 188, 2886
94, 1443

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7721004/4

Therefore the LCM of Fractions 8598/376,1796/5772 is 1930251

Greatest Common Factor of 376,5772 By Matching Biggest Common Factor Method

Greatest Common Factor of 376,5772 By Matching Biggest Common Factor Method

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Factors of 5772

List of positive integer factors of 5772 that divides 5772 without a remainder.

1,2,3,4,6,12,13,26,37,39,52,74,78,111,148,156,222,444,481,962,1443,1924,2886,5772

Greatest Common Factor

We found the factors 376,5772 . The biggest common factor number is the GCF number.
So the greatest common factor 376,5772 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8598/376, 1796/5772

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 8598/376, 1796/5772?

Answer: LCM of Numerators as per given numbers 8598/376, 1796/5772 is

LCM of Numerators i.e. for 8598,1796 is 7721004

GCF of denominators i.e. for 376,5772 is 4.

Thus, LCM of Fractions is 1930251.Finally, LCM of Fractions for 8598/376, 1796/5772 is 1930251.