Least Common Multiple of 5348/476, 6883/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5348/476, 6883/112 quickly i.e. 1314653 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5348/476, 6883/112 is 1314653.

LCM(5348/476, 6883/112) = 1314653

LCM of 5348/476, 6883/112

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 5348/476,6883/112

Given numbers are 5348/476,6883/112

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 5348,6883

Least Common Multiple of Numerators i.e. LCM of 5348,6883 is 36810284.

GCF of Denominators means GCF of 476,112 as per the given fractions.

GCF of 476,112 is 28 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5348,6883

LCM of Fractions 5348/476,6883/112 is 1314653

Given numbers has no common factors except 1. So, there LCM is their product i.e 36810284

Least Common Multiple of 5348,6883 with GCF Formula

Least Common Multiple of 5348,6883 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 5348,6883 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5348,6883) = 1

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

GCF(5348,6883) x common factors =1 x 1 = 1

LCM(5348,6883) = ( 5348 × 6883 ) / 1

LCM(5348,6883) = 36810284 / 1

LCM(5348,6883) = 36810284


Lets's calculate GCF of 476,112

2 476, 112
2 238, 56
7 119, 28
17, 4

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36810284/28

Therefore the LCM of Fractions 5348/476,6883/112 is 1314653

Greatest Common Factor of 476,112 By Matching Biggest Common Factor Method

Greatest Common Factor of 476,112 By Matching Biggest Common Factor Method

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Greatest Common Factor

We found the factors 476,112 . The biggest common factor number is the GCF number.
So the greatest common factor 476,112 is 28.


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 5348/476, 6883/112

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 5348/476, 6883/112?

Answer: LCM of Numerators as per given numbers 5348/476, 6883/112 is

LCM of Numerators i.e. for 5348,6883 is 36810284

GCF of denominators i.e. for 476,112 is 28.

Thus, LCM of Fractions is 1314653.Finally, LCM of Fractions for 5348/476, 6883/112 is 1314653.