Least Common Multiple of 971/462, 9824/668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 971/462, 9824/668 quickly i.e. 4769552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 971/462, 9824/668 is 4769552.

LCM(971/462, 9824/668) = 4769552

LCM of 971/462, 9824/668

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 971/462,9824/668

Given numbers are 971/462,9824/668

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 971,9824

Least Common Multiple of Numerators i.e. LCM of 971,9824 is 9539104.

GCF of Denominators means GCF of 462,668 as per the given fractions.

GCF of 462,668 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 971,9824

LCM of Fractions 971/462,9824/668 is 4769552

Given numbers has no common factors except 1. So, there LCM is their product i.e 9539104

Least Common Multiple of 971,9824 with GCF Formula

Least Common Multiple of 971,9824 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 971,9824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,9824) = 1

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

GCF(971,9824) x common factors =1 x 1 = 1

LCM(971,9824) = ( 971 × 9824 ) / 1

LCM(971,9824) = 9539104 / 1

LCM(971,9824) = 9539104


Lets's calculate GCF of 462,668

2 462, 668
231, 334

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9539104/2

Therefore the LCM of Fractions 971/462,9824/668 is 4769552

Greatest Common Factor of 462,668 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,668 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Greatest Common Factor

We found the factors 462,668 . The biggest common factor number is the GCF number.
So the greatest common factor 462,668 is 2.


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 971/462, 9824/668

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 971/462, 9824/668?

Answer: LCM of Numerators as per given numbers 971/462, 9824/668 is

LCM of Numerators i.e. for 971,9824 is 9539104

GCF of denominators i.e. for 462,668 is 2.

Thus, LCM of Fractions is 4769552.Finally, LCM of Fractions for 971/462, 9824/668 is 4769552.