Least Common Multiple of 822/60, 287/2968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 822/60, 287/2968 quickly i.e. 235914/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 822/60, 287/2968 is 235914/4.

LCM(822/60, 287/2968) = 235914/4

LCM of 822/60, 287/2968

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 822/60,287/2968

Given numbers are 822/60,287/2968

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 822,287

Least Common Multiple of Numerators i.e. LCM of 822,287 is 235914.

GCF of Denominators means GCF of 60,2968 as per the given fractions.

GCF of 60,2968 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 822,287

LCM of Fractions 822/60,287/2968 is 235914/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 235914

Least Common Multiple of 822,287 with GCF Formula

Least Common Multiple of 822,287 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 822,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,287) = 1

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

GCF(822,287) x common factors =1 x 1 = 1

LCM(822,287) = ( 822 × 287 ) / 1

LCM(822,287) = 235914 / 1

LCM(822,287) = 235914


Lets's calculate GCF of 60,2968

2 60, 2968
2 30, 1484
15, 742

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 235914/4

Therefore the LCM of Fractions 822/60,287/2968 is 235914/4

Greatest Common Factor of 60,2968 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,2968 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 2968

List of positive integer factors of 2968 that divides 2968 without a remainder.

1,2,4,7,8,14,28,53,56,106,212,371,424,742,1484,2968

Greatest Common Factor

We found the factors 60,2968 . The biggest common factor number is the GCF number.
So the greatest common factor 60,2968 is 4.


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 822/60, 287/2968

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 822/60, 287/2968?

Answer: LCM of Numerators as per given numbers 822/60, 287/2968 is

LCM of Numerators i.e. for 822,287 is 235914

GCF of denominators i.e. for 60,2968 is 4.

Thus, LCM of Fractions is 235914/4.Finally, LCM of Fractions for 822/60, 287/2968 is 235914/4.