Least Common Multiple of 31/526, 55/468, 746/478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/526, 55/468, 746/478 quickly i.e. 635965 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/526, 55/468, 746/478 is 635965.

LCM(31/526, 55/468, 746/478) = 635965

LCM of 31/526, 55/468, 746/478

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 31/526,55/468,746/478

Given numbers are 31/526,55/468,746/478

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 31,55,746

Least Common Multiple of Numerators i.e. LCM of 31,55,746 is 1271930.

GCF of Denominators means GCF of 526,468,478 as per the given fractions.

GCF of 526,468,478 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,55,746

LCM of Fractions 31/526,55/468,746/478 is 635965

Given numbers has no common factors except 1. So, there LCM is their product i.e 1271930

Least Common Multiple of 31,55,746 with GCF Formula

Least Common Multiple of 31,55,746 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 31,55,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,55,746) = 1

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

GCF(31,55,746) x common factors =1 x 1 = 1

LCM(31,55,746) = ( 31 × 55 × 746 ) / 1

LCM(31,55,746) = 1271930 / 1

LCM(31,55,746) = 1271930


Lets's calculate GCF of 526,468,478

2 526, 468, 478
263, 234, 239

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1271930/2

Therefore the LCM of Fractions 31/526,55/468,746/478 is 635965

Greatest Common Factor of 526,468,478 By Matching Biggest Common Factor Method

Greatest Common Factor of 526,468,478 By Matching Biggest Common Factor Method

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Greatest Common Factor

We found the factors 526,468,478 . The biggest common factor number is the GCF number.
So the greatest common factor 526,468,478 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 31/526, 55/468, 746/478

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 31/526, 55/468, 746/478?

Answer: LCM of Numerators as per given numbers 31/526, 55/468, 746/478 is

LCM of Numerators i.e. for 31,55,746 is 1271930

GCF of denominators i.e. for 526,468,478 is 2.

Thus, LCM of Fractions is 635965.Finally, LCM of Fractions for 31/526, 55/468, 746/478 is 635965.