Least Common Multiple of 746/131, 886/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 746/131, 886/474 quickly i.e. 330478 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 746/131, 886/474 is 330478.

LCM(746/131, 886/474) = 330478

LCM of 746/131, 886/474

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 746/131,886/474

Given numbers are 746/131,886/474

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 746,886

Least Common Multiple of Numerators i.e. LCM of 746,886 is 330478.

GCF of Denominators means GCF of 131,474 as per the given fractions.

GCF of 131,474 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 746,886

LCM of Fractions 746/131,886/474 is 330478

2 746, 886
373, 443

∴ So the LCM of the given numbers is 2 x 373 x 443 = 330478

Least Common Multiple of 746,886 with GCF Formula

Least Common Multiple of 746,886 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 746,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,886) = 2

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

GCF(746,886) x common factors =2 x 1 = 2

LCM(746,886) = ( 746 × 886 ) / 2

LCM(746,886) = 660956 / 2

LCM(746,886) = 330478


Lets's calculate GCF of 131,474

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 330478/1

Therefore the LCM of Fractions 746/131,886/474 is 330478

Greatest Common Factor of 131,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 131,474 By Matching Biggest Common Factor Method

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 131,474 . The biggest common factor number is the GCF number.
So the greatest common factor 131,474 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 746/131, 886/474

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 746/131, 886/474?

Answer: LCM of Numerators as per given numbers 746/131, 886/474 is

LCM of Numerators i.e. for 746,886 is 330478

GCF of denominators i.e. for 131,474 is 1.

Thus, LCM of Fractions is 330478.Finally, LCM of Fractions for 746/131, 886/474 is 330478.