Least Common Multiple of 2973/824, 1490/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2973/824, 1490/824 quickly i.e. 4429770/824 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2973/824, 1490/824 is 4429770/824.

LCM(2973/824, 1490/824) = 4429770/824

LCM of 2973/824, 1490/824

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 2973/824,1490/824

Given numbers are 2973/824,1490/824

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 2973,1490

Least Common Multiple of Numerators i.e. LCM of 2973,1490 is 4429770.

GCF of Denominators means GCF of 824,824 as per the given fractions.

GCF of 824,824 is 824 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2973,1490

LCM of Fractions 2973/824,1490/824 is 4429770/824

Given numbers has no common factors except 1. So, there LCM is their product i.e 4429770

Least Common Multiple of 2973,1490 with GCF Formula

Least Common Multiple of 2973,1490 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 2973,1490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2973,1490) = 1

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

GCF(2973,1490) x common factors =1 x 1 = 1

LCM(2973,1490) = ( 2973 × 1490 ) / 1

LCM(2973,1490) = 4429770 / 1

LCM(2973,1490) = 4429770


Lets's calculate GCF of 824,824

2 824, 824
2 412, 412
2 206, 206
103 103, 103
1, 1

∴ So the GCF of the given numbers is 2 x 2 x 2 x 103 = 824

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4429770/824

Therefore the LCM of Fractions 2973/824,1490/824 is 4429770/824

Greatest Common Factor of 824,824 By Matching Biggest Common Factor Method

Greatest Common Factor of 824,824 By Matching Biggest Common Factor Method

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Greatest Common Factor

We found the factors 824,824 . The biggest common factor number is the GCF number.
So the greatest common factor 824,824 is 824.


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 2973/824, 1490/824

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 2973/824, 1490/824?

Answer: LCM of Numerators as per given numbers 2973/824, 1490/824 is

LCM of Numerators i.e. for 2973,1490 is 4429770

GCF of denominators i.e. for 824,824 is 824.

Thus, LCM of Fractions is 4429770/824.Finally, LCM of Fractions for 2973/824, 1490/824 is 4429770/824.