Least Common Multiple of 600/77, 750/951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 600/77, 750/951 quickly i.e. 3000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 600/77, 750/951 is 3000.

LCM(600/77, 750/951) = 3000

LCM of 600/77, 750/951

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 600/77,750/951

Given numbers are 600/77,750/951

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 600,750

Least Common Multiple of Numerators i.e. LCM of 600,750 is 3000.

GCF of Denominators means GCF of 77,951 as per the given fractions.

GCF of 77,951 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 600,750

LCM of Fractions 600/77,750/951 is 3000

2 600, 750
3 300, 375
5 100, 125
5 20, 25
4, 5

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 4 x 5 = 3000

Least Common Multiple of 600,750 with GCF Formula

Least Common Multiple of 600,750 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 600,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,750) = 150

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

GCF(600,750) x common factors =150 x 1 = 150

LCM(600,750) = ( 600 × 750 ) / 150

LCM(600,750) = 450000 / 150

LCM(600,750) = 3000


Lets's calculate GCF of 77,951

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3000/1

Therefore the LCM of Fractions 600/77,750/951 is 3000

Greatest Common Factor of 77,951 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,951 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Greatest Common Factor

We found the factors 77,951 . The biggest common factor number is the GCF number.
So the greatest common factor 77,951 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 600/77, 750/951

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 600/77, 750/951?

Answer: LCM of Numerators as per given numbers 600/77, 750/951 is

LCM of Numerators i.e. for 600,750 is 3000

GCF of denominators i.e. for 77,951 is 1.

Thus, LCM of Fractions is 3000.Finally, LCM of Fractions for 600/77, 750/951 is 3000.