Least Common Multiple of 5444/56, 8314/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5444/56, 8314/234 quickly i.e. 11315354 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5444/56, 8314/234 is 11315354.

LCM(5444/56, 8314/234) = 11315354

LCM of 5444/56, 8314/234

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 5444/56,8314/234

Given numbers are 5444/56,8314/234

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 5444,8314

Least Common Multiple of Numerators i.e. LCM of 5444,8314 is 22630708.

GCF of Denominators means GCF of 56,234 as per the given fractions.

GCF of 56,234 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5444,8314

LCM of Fractions 5444/56,8314/234 is 11315354

2 5444, 8314
2722, 4157

∴ So the LCM of the given numbers is 2 x 2722 x 4157 = 22630708

Least Common Multiple of 5444,8314 with GCF Formula

Least Common Multiple of 5444,8314 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 5444,8314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5444,8314) = 2

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

GCF(5444,8314) x common factors =2 x 1 = 2

LCM(5444,8314) = ( 5444 × 8314 ) / 2

LCM(5444,8314) = 45261416 / 2

LCM(5444,8314) = 22630708


Lets's calculate GCF of 56,234

2 56, 234
28, 117

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22630708/2

Therefore the LCM of Fractions 5444/56,8314/234 is 11315354

Greatest Common Factor of 56,234 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,234 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

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

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Greatest Common Factor

We found the factors 56,234 . The biggest common factor number is the GCF number.
So the greatest common factor 56,234 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 5444/56, 8314/234

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 5444/56, 8314/234?

Answer: LCM of Numerators as per given numbers 5444/56, 8314/234 is

LCM of Numerators i.e. for 5444,8314 is 22630708

GCF of denominators i.e. for 56,234 is 2.

Thus, LCM of Fractions is 11315354.Finally, LCM of Fractions for 5444/56, 8314/234 is 11315354.