Least Common Multiple of 78/216, 98/933, 732/844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/216, 98/933, 732/844 quickly i.e. 466284 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/216, 98/933, 732/844 is 466284.

LCM(78/216, 98/933, 732/844) = 466284

LCM of 78/216, 98/933, 732/844

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 78/216,98/933,732/844

Given numbers are 78/216,98/933,732/844

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 78,98,732

Least Common Multiple of Numerators i.e. LCM of 78,98,732 is 466284.

GCF of Denominators means GCF of 216,933,844 as per the given fractions.

GCF of 216,933,844 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,98,732

LCM of Fractions 78/216,98/933,732/844 is 466284

2 78, 98, 732
3 39, 49, 366
13, 49, 122

∴ So the LCM of the given numbers is 2 x 3 x 13 x 49 x 122 = 466284

Least Common Multiple of 78,98,732 with GCF Formula

Least Common Multiple of 78,98,732 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 78,98,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,98,732) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(78,98,732) x common factors =2 x 6 = 12

LCM(78,98,732) = ( 78 × 98 × 732 ) / 12

LCM(78,98,732) = 5595408 / 12

LCM(78,98,732) = 466284


Lets's calculate GCF of 216,933,844

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 466284/1

Therefore the LCM of Fractions 78/216,98/933,732/844 is 466284

Greatest Common Factor of 216,933,844 By Matching Biggest Common Factor Method

Greatest Common Factor of 216,933,844 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 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Greatest Common Factor

We found the factors 216,933,844 . The biggest common factor number is the GCF number.
So the greatest common factor 216,933,844 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 78/216, 98/933, 732/844

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 78/216, 98/933, 732/844?

Answer: LCM of Numerators as per given numbers 78/216, 98/933, 732/844 is

LCM of Numerators i.e. for 78,98,732 is 466284

GCF of denominators i.e. for 216,933,844 is 1.

Thus, LCM of Fractions is 466284.Finally, LCM of Fractions for 78/216, 98/933, 732/844 is 466284.