Least Common Multiple of 6914/441, 6526/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6914/441, 6526/375 quickly i.e. 22560382/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6914/441, 6526/375 is 22560382/3.

LCM(6914/441, 6526/375) = 22560382/3

LCM of 6914/441, 6526/375

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 6914/441,6526/375

Given numbers are 6914/441,6526/375

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 6914,6526

Least Common Multiple of Numerators i.e. LCM of 6914,6526 is 22560382.

GCF of Denominators means GCF of 441,375 as per the given fractions.

GCF of 441,375 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6914,6526

LCM of Fractions 6914/441,6526/375 is 22560382/3

2 6914, 6526
3457, 3263

∴ So the LCM of the given numbers is 2 x 3457 x 3263 = 22560382

Least Common Multiple of 6914,6526 with GCF Formula

Least Common Multiple of 6914,6526 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 6914,6526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6914,6526) = 2

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

GCF(6914,6526) x common factors =2 x 1 = 2

LCM(6914,6526) = ( 6914 × 6526 ) / 2

LCM(6914,6526) = 45120764 / 2

LCM(6914,6526) = 22560382


Lets's calculate GCF of 441,375

3 441, 375
147, 125

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22560382/3

Therefore the LCM of Fractions 6914/441,6526/375 is 22560382/3

Greatest Common Factor of 441,375 By Matching Biggest Common Factor Method

Greatest Common Factor of 441,375 By Matching Biggest Common Factor Method

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Greatest Common Factor

We found the factors 441,375 . The biggest common factor number is the GCF number.
So the greatest common factor 441,375 is 3.


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 6914/441, 6526/375

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 6914/441, 6526/375?

Answer: LCM of Numerators as per given numbers 6914/441, 6526/375 is

LCM of Numerators i.e. for 6914,6526 is 22560382

GCF of denominators i.e. for 441,375 is 3.

Thus, LCM of Fractions is 22560382/3.Finally, LCM of Fractions for 6914/441, 6526/375 is 22560382/3.