Least Common Multiple of 973/60, 869/46, 213/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 973/60, 869/46, 213/825 quickly i.e. 180099381 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 973/60, 869/46, 213/825 is 180099381.

LCM(973/60, 869/46, 213/825) = 180099381

LCM of 973/60, 869/46, 213/825

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 973/60,869/46,213/825

Given numbers are 973/60,869/46,213/825

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 973,869,213

Least Common Multiple of Numerators i.e. LCM of 973,869,213 is 180099381.

GCF of Denominators means GCF of 60,46,825 as per the given fractions.

GCF of 60,46,825 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 973,869,213

LCM of Fractions 973/60,869/46,213/825 is 180099381

Given numbers has no common factors except 1. So, there LCM is their product i.e 180099381

Least Common Multiple of 973,869,213 with GCF Formula

Least Common Multiple of 973,869,213 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 973,869,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(973,869,213) = 1

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

GCF(973,869,213) x common factors =1 x 1 = 1

LCM(973,869,213) = ( 973 × 869 × 213 ) / 1

LCM(973,869,213) = 180099381 / 1

LCM(973,869,213) = 180099381


Lets's calculate GCF of 60,46,825

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 180099381/1

Therefore the LCM of Fractions 973/60,869/46,213/825 is 180099381

Greatest Common Factor of 60,46,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,46,825 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 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Greatest Common Factor

We found the factors 60,46,825 . The biggest common factor number is the GCF number.
So the greatest common factor 60,46,825 is 1.


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 973/60, 869/46, 213/825

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 973/60, 869/46, 213/825?

Answer: LCM of Numerators as per given numbers 973/60, 869/46, 213/825 is

LCM of Numerators i.e. for 973,869,213 is 180099381

GCF of denominators i.e. for 60,46,825 is 1.

Thus, LCM of Fractions is 180099381.Finally, LCM of Fractions for 973/60, 869/46, 213/825 is 180099381.