Least Common Multiple of 494/502, 3126/184

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 494/502, 3126/184 quickly i.e. 386061 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 494/502, 3126/184 is 386061.

LCM(494/502, 3126/184) = 386061

LCM of 494/502, 3126/184

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 494/502,3126/184

Given numbers are 494/502,3126/184

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 494,3126

Least Common Multiple of Numerators i.e. LCM of 494,3126 is 772122.

GCF of Denominators means GCF of 502,184 as per the given fractions.

GCF of 502,184 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 494,3126

LCM of Fractions 494/502,3126/184 is 386061

2 494, 3126
247, 1563

∴ So the LCM of the given numbers is 2 x 247 x 1563 = 772122

Least Common Multiple of 494,3126 with GCF Formula

Least Common Multiple of 494,3126 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 494,3126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,3126) = 2

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

GCF(494,3126) x common factors =2 x 1 = 2

LCM(494,3126) = ( 494 × 3126 ) / 2

LCM(494,3126) = 1544244 / 2

LCM(494,3126) = 772122


Lets's calculate GCF of 502,184

2 502, 184
251, 92

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 772122/2

Therefore the LCM of Fractions 494/502,3126/184 is 386061

Greatest Common Factor of 502,184 By Matching Biggest Common Factor Method

Greatest Common Factor of 502,184 By Matching Biggest Common Factor Method

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Greatest Common Factor

We found the factors 502,184 . The biggest common factor number is the GCF number.
So the greatest common factor 502,184 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 494/502, 3126/184

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 494/502, 3126/184?

Answer: LCM of Numerators as per given numbers 494/502, 3126/184 is

LCM of Numerators i.e. for 494,3126 is 772122

GCF of denominators i.e. for 502,184 is 2.

Thus, LCM of Fractions is 386061.Finally, LCM of Fractions for 494/502, 3126/184 is 386061.