Least Common Multiple of 356/20, 746/4856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 356/20, 746/4856 quickly i.e. 33197 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 356/20, 746/4856 is 33197.

LCM(356/20, 746/4856) = 33197

LCM of 356/20, 746/4856

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 356/20,746/4856

Given numbers are 356/20,746/4856

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 356,746

Least Common Multiple of Numerators i.e. LCM of 356,746 is 132788.

GCF of Denominators means GCF of 20,4856 as per the given fractions.

GCF of 20,4856 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 356,746

LCM of Fractions 356/20,746/4856 is 33197

2 356, 746
178, 373

∴ So the LCM of the given numbers is 2 x 178 x 373 = 132788

Least Common Multiple of 356,746 with GCF Formula

Least Common Multiple of 356,746 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 356,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(356,746) = 2

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

GCF(356,746) x common factors =2 x 1 = 2

LCM(356,746) = ( 356 × 746 ) / 2

LCM(356,746) = 265576 / 2

LCM(356,746) = 132788


Lets's calculate GCF of 20,4856

2 20, 4856
2 10, 2428
5, 1214

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132788/4

Therefore the LCM of Fractions 356/20,746/4856 is 33197

Greatest Common Factor of 20,4856 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,4856 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 4856

List of positive integer factors of 4856 that divides 4856 without a remainder.

1,2,4,8,607,1214,2428,4856

Greatest Common Factor

We found the factors 20,4856 . The biggest common factor number is the GCF number.
So the greatest common factor 20,4856 is 4.


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 356/20, 746/4856

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 356/20, 746/4856?

Answer: LCM of Numerators as per given numbers 356/20, 746/4856 is

LCM of Numerators i.e. for 356,746 is 132788

GCF of denominators i.e. for 20,4856 is 4.

Thus, LCM of Fractions is 33197.Finally, LCM of Fractions for 356/20, 746/4856 is 33197.