Least Common Multiple of 5117/438, 2492/194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5117/438, 2492/194 quickly i.e. 910826 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5117/438, 2492/194 is 910826.

LCM(5117/438, 2492/194) = 910826

LCM of 5117/438, 2492/194

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 5117/438,2492/194

Given numbers are 5117/438,2492/194

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 5117,2492

Least Common Multiple of Numerators i.e. LCM of 5117,2492 is 1821652.

GCF of Denominators means GCF of 438,194 as per the given fractions.

GCF of 438,194 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5117,2492

LCM of Fractions 5117/438,2492/194 is 910826

7 5117, 2492
731, 356

∴ So the LCM of the given numbers is 7 x 731 x 356 = 1821652

Least Common Multiple of 5117,2492 with GCF Formula

Least Common Multiple of 5117,2492 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 5117,2492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5117,2492) = 7

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

GCF(5117,2492) x common factors =7 x 1 = 7

LCM(5117,2492) = ( 5117 × 2492 ) / 7

LCM(5117,2492) = 12751564 / 7

LCM(5117,2492) = 1821652


Lets's calculate GCF of 438,194

2 438, 194
219, 97

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1821652/2

Therefore the LCM of Fractions 5117/438,2492/194 is 910826

Greatest Common Factor of 438,194 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,194 By Matching Biggest Common Factor Method

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Greatest Common Factor

We found the factors 438,194 . The biggest common factor number is the GCF number.
So the greatest common factor 438,194 is 2.


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Frequently Asked Questions on Fractional LCM of 5117/438, 2492/194

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 5117/438, 2492/194?

Answer: LCM of Numerators as per given numbers 5117/438, 2492/194 is

LCM of Numerators i.e. for 5117,2492 is 1821652

GCF of denominators i.e. for 438,194 is 2.

Thus, LCM of Fractions is 910826.Finally, LCM of Fractions for 5117/438, 2492/194 is 910826.