Least Common Multiple of 600/60, 977/2802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 600/60, 977/2802 quickly i.e. 97700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 600/60, 977/2802 is 97700.

LCM(600/60, 977/2802) = 97700

LCM of 600/60, 977/2802

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 600/60,977/2802

Given numbers are 600/60,977/2802

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 600,977

Least Common Multiple of Numerators i.e. LCM of 600,977 is 586200.

GCF of Denominators means GCF of 60,2802 as per the given fractions.

GCF of 60,2802 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 600,977

LCM of Fractions 600/60,977/2802 is 97700

Given numbers has no common factors except 1. So, there LCM is their product i.e 586200

Least Common Multiple of 600,977 with GCF Formula

Least Common Multiple of 600,977 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 600,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,977) = 1

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

GCF(600,977) x common factors =1 x 1 = 1

LCM(600,977) = ( 600 × 977 ) / 1

LCM(600,977) = 586200 / 1

LCM(600,977) = 586200


Lets's calculate GCF of 60,2802

2 60, 2802
3 30, 1401
10, 467

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 586200/6

Therefore the LCM of Fractions 600/60,977/2802 is 97700

Greatest Common Factor of 60,2802 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,2802 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 2802

List of positive integer factors of 2802 that divides 2802 without a remainder.

1,2,3,6,467,934,1401,2802

Greatest Common Factor

We found the factors 60,2802 . The biggest common factor number is the GCF number.
So the greatest common factor 60,2802 is 6.


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 600/60, 977/2802

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 600/60, 977/2802?

Answer: LCM of Numerators as per given numbers 600/60, 977/2802 is

LCM of Numerators i.e. for 600,977 is 586200

GCF of denominators i.e. for 60,2802 is 6.

Thus, LCM of Fractions is 97700.Finally, LCM of Fractions for 600/60, 977/2802 is 97700.