Least Common Multiple of 5641/224, 7126/6314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5641/224, 7126/6314 quickly i.e. 2871269 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5641/224, 7126/6314 is 2871269.

LCM(5641/224, 7126/6314) = 2871269

LCM of 5641/224, 7126/6314

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 5641/224,7126/6314

Given numbers are 5641/224,7126/6314

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 5641,7126

Least Common Multiple of Numerators i.e. LCM of 5641,7126 is 40197766.

GCF of Denominators means GCF of 224,6314 as per the given fractions.

GCF of 224,6314 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5641,7126

LCM of Fractions 5641/224,7126/6314 is 2871269

Given numbers has no common factors except 1. So, there LCM is their product i.e 40197766

Least Common Multiple of 5641,7126 with GCF Formula

Least Common Multiple of 5641,7126 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 5641,7126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5641,7126) = 1

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

GCF(5641,7126) x common factors =1 x 1 = 1

LCM(5641,7126) = ( 5641 × 7126 ) / 1

LCM(5641,7126) = 40197766 / 1

LCM(5641,7126) = 40197766


Lets's calculate GCF of 224,6314

2 224, 6314
7 112, 3157
16, 451

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40197766/14

Therefore the LCM of Fractions 5641/224,7126/6314 is 2871269

Greatest Common Factor of 224,6314 By Matching Biggest Common Factor Method

Greatest Common Factor of 224,6314 By Matching Biggest Common Factor Method

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Factors of 6314

List of positive integer factors of 6314 that divides 6314 without a remainder.

1,2,7,11,14,22,41,77,82,154,287,451,574,902,3157,6314

Greatest Common Factor

We found the factors 224,6314 . The biggest common factor number is the GCF number.
So the greatest common factor 224,6314 is 14.


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 5641/224, 7126/6314

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 5641/224, 7126/6314?

Answer: LCM of Numerators as per given numbers 5641/224, 7126/6314 is

LCM of Numerators i.e. for 5641,7126 is 40197766

GCF of denominators i.e. for 224,6314 is 14.

Thus, LCM of Fractions is 2871269.Finally, LCM of Fractions for 5641/224, 7126/6314 is 2871269.