Least Common Multiple of 474/26, 854/386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 474/26, 854/386 quickly i.e. 101199 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 474/26, 854/386 is 101199.

LCM(474/26, 854/386) = 101199

LCM of 474/26, 854/386

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 474/26,854/386

Given numbers are 474/26,854/386

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 474,854

Least Common Multiple of Numerators i.e. LCM of 474,854 is 202398.

GCF of Denominators means GCF of 26,386 as per the given fractions.

GCF of 26,386 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 474,854

LCM of Fractions 474/26,854/386 is 101199

2 474, 854
237, 427

∴ So the LCM of the given numbers is 2 x 237 x 427 = 202398

Least Common Multiple of 474,854 with GCF Formula

Least Common Multiple of 474,854 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 474,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(474,854) = 2

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

GCF(474,854) x common factors =2 x 1 = 2

LCM(474,854) = ( 474 × 854 ) / 2

LCM(474,854) = 404796 / 2

LCM(474,854) = 202398


Lets's calculate GCF of 26,386

2 26, 386
13, 193

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 202398/2

Therefore the LCM of Fractions 474/26,854/386 is 101199

Greatest Common Factor of 26,386 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,386 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Greatest Common Factor

We found the factors 26,386 . The biggest common factor number is the GCF number.
So the greatest common factor 26,386 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 474/26, 854/386

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 474/26, 854/386?

Answer: LCM of Numerators as per given numbers 474/26, 854/386 is

LCM of Numerators i.e. for 474,854 is 202398

GCF of denominators i.e. for 26,386 is 2.

Thus, LCM of Fractions is 101199.Finally, LCM of Fractions for 474/26, 854/386 is 101199.