Least Common Multiple of 75/37, 428/58, 107/499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/37, 428/58, 107/499 quickly i.e. 32100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/37, 428/58, 107/499 is 32100.

LCM(75/37, 428/58, 107/499) = 32100

LCM of 75/37, 428/58, 107/499

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 75/37,428/58,107/499

Given numbers are 75/37,428/58,107/499

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 75,428,107

Least Common Multiple of Numerators i.e. LCM of 75,428,107 is 32100.

GCF of Denominators means GCF of 37,58,499 as per the given fractions.

GCF of 37,58,499 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,428,107

LCM of Fractions 75/37,428/58,107/499 is 32100

107 75, 428, 107
75, 4, 1

∴ So the LCM of the given numbers is 107 x 75 x 4 x 1 = 32100

Least Common Multiple of 75,428,107 with GCF Formula

Least Common Multiple of 75,428,107 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 75,428,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,428,107) = 1

common factors(in case of two or more numbers have common factors) = 107

GCF(75,428,107) x common factors =1 x 107 = 107

LCM(75,428,107) = ( 75 × 428 × 107 ) / 107

LCM(75,428,107) = 3434700 / 107

LCM(75,428,107) = 32100


Lets's calculate GCF of 37,58,499

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32100/1

Therefore the LCM of Fractions 75/37,428/58,107/499 is 32100

Greatest Common Factor of 37,58,499 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,58,499 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Greatest Common Factor

We found the factors 37,58,499 . The biggest common factor number is the GCF number.
So the greatest common factor 37,58,499 is 1.


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 75/37, 428/58, 107/499

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 75/37, 428/58, 107/499?

Answer: LCM of Numerators as per given numbers 75/37, 428/58, 107/499 is

LCM of Numerators i.e. for 75,428,107 is 32100

GCF of denominators i.e. for 37,58,499 is 1.

Thus, LCM of Fractions is 32100.Finally, LCM of Fractions for 75/37, 428/58, 107/499 is 32100.