Least Common Multiple of 75/658, 7815/6128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/658, 7815/6128 quickly i.e. 39075/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/658, 7815/6128 is 39075/2.

LCM(75/658, 7815/6128) = 39075/2

LCM of 75/658, 7815/6128

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 75/658,7815/6128

Given numbers are 75/658,7815/6128

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 75,7815

Least Common Multiple of Numerators i.e. LCM of 75,7815 is 39075.

GCF of Denominators means GCF of 658,6128 as per the given fractions.

GCF of 658,6128 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,7815

LCM of Fractions 75/658,7815/6128 is 39075/2

3 75, 7815
5 25, 2605
5, 521

∴ So the LCM of the given numbers is 3 x 5 x 5 x 521 = 39075

Least Common Multiple of 75,7815 with GCF Formula

Least Common Multiple of 75,7815 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 75,7815 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,7815) = 15

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

GCF(75,7815) x common factors =15 x 1 = 15

LCM(75,7815) = ( 75 × 7815 ) / 15

LCM(75,7815) = 586125 / 15

LCM(75,7815) = 39075


Lets's calculate GCF of 658,6128

2 658, 6128
329, 3064

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39075/2

Therefore the LCM of Fractions 75/658,7815/6128 is 39075/2

Greatest Common Factor of 658,6128 By Matching Biggest Common Factor Method

Greatest Common Factor of 658,6128 By Matching Biggest Common Factor Method

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Factors of 6128

List of positive integer factors of 6128 that divides 6128 without a remainder.

1,2,4,8,16,383,766,1532,3064,6128

Greatest Common Factor

We found the factors 658,6128 . The biggest common factor number is the GCF number.
So the greatest common factor 658,6128 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 75/658, 7815/6128

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 75/658, 7815/6128?

Answer: LCM of Numerators as per given numbers 75/658, 7815/6128 is

LCM of Numerators i.e. for 75,7815 is 39075

GCF of denominators i.e. for 658,6128 is 2.

Thus, LCM of Fractions is 39075/2.Finally, LCM of Fractions for 75/658, 7815/6128 is 39075/2.