Least Common Multiple of 750/28, 597/55, 508/667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 750/28, 597/55, 508/667 quickly i.e. 37909500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 750/28, 597/55, 508/667 is 37909500.

LCM(750/28, 597/55, 508/667) = 37909500

LCM of 750/28, 597/55, 508/667

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 750/28,597/55,508/667

Given numbers are 750/28,597/55,508/667

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 750,597,508

Least Common Multiple of Numerators i.e. LCM of 750,597,508 is 37909500.

GCF of Denominators means GCF of 28,55,667 as per the given fractions.

GCF of 28,55,667 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 750,597,508

LCM of Fractions 750/28,597/55,508/667 is 37909500

2 750, 597, 508
3 375, 597, 254
125, 199, 254

∴ So the LCM of the given numbers is 2 x 3 x 125 x 199 x 254 = 37909500

Least Common Multiple of 750,597,508 with GCF Formula

Least Common Multiple of 750,597,508 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 750,597,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(750,597,508) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(750,597,508) x common factors =1 x 6 = 6

LCM(750,597,508) = ( 750 × 597 × 508 ) / 6

LCM(750,597,508) = 227457000 / 6

LCM(750,597,508) = 37909500


Lets's calculate GCF of 28,55,667

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37909500/1

Therefore the LCM of Fractions 750/28,597/55,508/667 is 37909500

Greatest Common Factor of 28,55,667 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,55,667 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Greatest Common Factor

We found the factors 28,55,667 . The biggest common factor number is the GCF number.
So the greatest common factor 28,55,667 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 750/28, 597/55, 508/667

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 750/28, 597/55, 508/667?

Answer: LCM of Numerators as per given numbers 750/28, 597/55, 508/667 is

LCM of Numerators i.e. for 750,597,508 is 37909500

GCF of denominators i.e. for 28,55,667 is 1.

Thus, LCM of Fractions is 37909500.Finally, LCM of Fractions for 750/28, 597/55, 508/667 is 37909500.