Least Common Multiple of 75/420, 97/394, 758/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/420, 97/394, 758/512 quickly i.e. 2757225 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/420, 97/394, 758/512 is 2757225.

LCM(75/420, 97/394, 758/512) = 2757225

LCM of 75/420, 97/394, 758/512

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 75/420,97/394,758/512

Given numbers are 75/420,97/394,758/512

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 75,97,758

Least Common Multiple of Numerators i.e. LCM of 75,97,758 is 5514450.

GCF of Denominators means GCF of 420,394,512 as per the given fractions.

GCF of 420,394,512 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,97,758

LCM of Fractions 75/420,97/394,758/512 is 2757225

Given numbers has no common factors except 1. So, there LCM is their product i.e 5514450

Least Common Multiple of 75,97,758 with GCF Formula

Least Common Multiple of 75,97,758 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 75,97,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,97,758) = 1

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

GCF(75,97,758) x common factors =1 x 1 = 1

LCM(75,97,758) = ( 75 × 97 × 758 ) / 1

LCM(75,97,758) = 5514450 / 1

LCM(75,97,758) = 5514450


Lets's calculate GCF of 420,394,512

2 420, 394, 512
210, 197, 256

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5514450/2

Therefore the LCM of Fractions 75/420,97/394,758/512 is 2757225

Greatest Common Factor of 420,394,512 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,394,512 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Greatest Common Factor

We found the factors 420,394,512 . The biggest common factor number is the GCF number.
So the greatest common factor 420,394,512 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 75/420, 97/394, 758/512

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 75/420, 97/394, 758/512?

Answer: LCM of Numerators as per given numbers 75/420, 97/394, 758/512 is

LCM of Numerators i.e. for 75,97,758 is 5514450

GCF of denominators i.e. for 420,394,512 is 2.

Thus, LCM of Fractions is 2757225.Finally, LCM of Fractions for 75/420, 97/394, 758/512 is 2757225.