Least Common Multiple of 972/216, 4329/835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 972/216, 4329/835 quickly i.e. 467532 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 972/216, 4329/835 is 467532.

LCM(972/216, 4329/835) = 467532

LCM of 972/216, 4329/835

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 972/216,4329/835

Given numbers are 972/216,4329/835

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 972,4329

Least Common Multiple of Numerators i.e. LCM of 972,4329 is 467532.

GCF of Denominators means GCF of 216,835 as per the given fractions.

GCF of 216,835 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 972,4329

LCM of Fractions 972/216,4329/835 is 467532

3 972, 4329
3 324, 1443
108, 481

∴ So the LCM of the given numbers is 3 x 3 x 108 x 481 = 467532

Least Common Multiple of 972,4329 with GCF Formula

Least Common Multiple of 972,4329 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 972,4329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,4329) = 9

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

GCF(972,4329) x common factors =9 x 1 = 9

LCM(972,4329) = ( 972 × 4329 ) / 9

LCM(972,4329) = 4207788 / 9

LCM(972,4329) = 467532


Lets's calculate GCF of 216,835

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 467532/1

Therefore the LCM of Fractions 972/216,4329/835 is 467532

Greatest Common Factor of 216,835 By Matching Biggest Common Factor Method

Greatest Common Factor of 216,835 By Matching Biggest Common Factor Method

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Greatest Common Factor

We found the factors 216,835 . The biggest common factor number is the GCF number.
So the greatest common factor 216,835 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 972/216, 4329/835

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 972/216, 4329/835?

Answer: LCM of Numerators as per given numbers 972/216, 4329/835 is

LCM of Numerators i.e. for 972,4329 is 467532

GCF of denominators i.e. for 216,835 is 1.

Thus, LCM of Fractions is 467532.Finally, LCM of Fractions for 972/216, 4329/835 is 467532.