Least Common Multiple of 6445/351, 7100/5772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6445/351, 7100/5772 quickly i.e. 9151900/39 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6445/351, 7100/5772 is 9151900/39.

LCM(6445/351, 7100/5772) = 9151900/39

LCM of 6445/351, 7100/5772

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 6445/351,7100/5772

Given numbers are 6445/351,7100/5772

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 6445,7100

Least Common Multiple of Numerators i.e. LCM of 6445,7100 is 9151900.

GCF of Denominators means GCF of 351,5772 as per the given fractions.

GCF of 351,5772 is 39 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6445,7100

LCM of Fractions 6445/351,7100/5772 is 9151900/39

5 6445, 7100
1289, 1420

∴ So the LCM of the given numbers is 5 x 1289 x 1420 = 9151900

Least Common Multiple of 6445,7100 with GCF Formula

Least Common Multiple of 6445,7100 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 6445,7100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6445,7100) = 5

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

GCF(6445,7100) x common factors =5 x 1 = 5

LCM(6445,7100) = ( 6445 × 7100 ) / 5

LCM(6445,7100) = 45759500 / 5

LCM(6445,7100) = 9151900


Lets's calculate GCF of 351,5772

3 351, 5772
13 117, 1924
9, 148

∴ So the GCF of the given numbers is 3 x 13 = 39

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9151900/39

Therefore the LCM of Fractions 6445/351,7100/5772 is 9151900/39

Greatest Common Factor of 351,5772 By Matching Biggest Common Factor Method

Greatest Common Factor of 351,5772 By Matching Biggest Common Factor Method

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Factors of 5772

List of positive integer factors of 5772 that divides 5772 without a remainder.

1,2,3,4,6,12,13,26,37,39,52,74,78,111,148,156,222,444,481,962,1443,1924,2886,5772

Greatest Common Factor

We found the factors 351,5772 . The biggest common factor number is the GCF number.
So the greatest common factor 351,5772 is 39.


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 6445/351, 7100/5772

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 6445/351, 7100/5772?

Answer: LCM of Numerators as per given numbers 6445/351, 7100/5772 is

LCM of Numerators i.e. for 6445,7100 is 9151900

GCF of denominators i.e. for 351,5772 is 39.

Thus, LCM of Fractions is 9151900/39.Finally, LCM of Fractions for 6445/351, 7100/5772 is 9151900/39.