Least Common Multiple of 626/74, 138/5166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 626/74, 138/5166 quickly i.e. 21597 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 626/74, 138/5166 is 21597.

LCM(626/74, 138/5166) = 21597

LCM of 626/74, 138/5166

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 626/74,138/5166

Given numbers are 626/74,138/5166

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 626,138

Least Common Multiple of Numerators i.e. LCM of 626,138 is 43194.

GCF of Denominators means GCF of 74,5166 as per the given fractions.

GCF of 74,5166 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 626,138

LCM of Fractions 626/74,138/5166 is 21597

2 626, 138
313, 69

∴ So the LCM of the given numbers is 2 x 313 x 69 = 43194

Least Common Multiple of 626,138 with GCF Formula

Least Common Multiple of 626,138 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 626,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(626,138) = 2

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

GCF(626,138) x common factors =2 x 1 = 2

LCM(626,138) = ( 626 × 138 ) / 2

LCM(626,138) = 86388 / 2

LCM(626,138) = 43194


Lets's calculate GCF of 74,5166

2 74, 5166
37, 2583

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43194/2

Therefore the LCM of Fractions 626/74,138/5166 is 21597

Greatest Common Factor of 74,5166 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,5166 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 5166

List of positive integer factors of 5166 that divides 5166 without a remainder.

1,2,3,6,7,9,14,18,21,41,42,63,82,123,126,246,287,369,574,738,861,1722,2583,5166

Greatest Common Factor

We found the factors 74,5166 . The biggest common factor number is the GCF number.
So the greatest common factor 74,5166 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 626/74, 138/5166

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 626/74, 138/5166?

Answer: LCM of Numerators as per given numbers 626/74, 138/5166 is

LCM of Numerators i.e. for 626,138 is 43194

GCF of denominators i.e. for 74,5166 is 2.

Thus, LCM of Fractions is 21597.Finally, LCM of Fractions for 626/74, 138/5166 is 21597.