Least Common Multiple of 600/42, 780/9753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 600/42, 780/9753 quickly i.e. 2600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 600/42, 780/9753 is 2600.

LCM(600/42, 780/9753) = 2600

LCM of 600/42, 780/9753

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 600/42,780/9753

Given numbers are 600/42,780/9753

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 600,780

Least Common Multiple of Numerators i.e. LCM of 600,780 is 7800.

GCF of Denominators means GCF of 42,9753 as per the given fractions.

GCF of 42,9753 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 600,780

LCM of Fractions 600/42,780/9753 is 2600

2 600, 780
2 300, 390
3 150, 195
5 50, 65
10, 13

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 10 x 13 = 7800

Least Common Multiple of 600,780 with GCF Formula

Least Common Multiple of 600,780 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 600,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,780) = 60

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

GCF(600,780) x common factors =60 x 1 = 60

LCM(600,780) = ( 600 × 780 ) / 60

LCM(600,780) = 468000 / 60

LCM(600,780) = 7800


Lets's calculate GCF of 42,9753

3 42, 9753
14, 3251

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7800/3

Therefore the LCM of Fractions 600/42,780/9753 is 2600

Greatest Common Factor of 42,9753 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,9753 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 9753

List of positive integer factors of 9753 that divides 9753 without a remainder.

1,3,3251,9753

Greatest Common Factor

We found the factors 42,9753 . The biggest common factor number is the GCF number.
So the greatest common factor 42,9753 is 3.


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 600/42, 780/9753

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 600/42, 780/9753?

Answer: LCM of Numerators as per given numbers 600/42, 780/9753 is

LCM of Numerators i.e. for 600,780 is 7800

GCF of denominators i.e. for 42,9753 is 3.

Thus, LCM of Fractions is 2600.Finally, LCM of Fractions for 600/42, 780/9753 is 2600.