Least Common Multiple of 792/83, 736/88, 289/84

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 792/83, 736/88, 289/84 quickly i.e. 21057696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 792/83, 736/88, 289/84 is 21057696.

LCM(792/83, 736/88, 289/84) = 21057696

LCM of 792/83, 736/88, 289/84

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 792/83,736/88,289/84

Given numbers are 792/83,736/88,289/84

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 792,736,289

Least Common Multiple of Numerators i.e. LCM of 792,736,289 is 21057696.

GCF of Denominators means GCF of 83,88,84 as per the given fractions.

GCF of 83,88,84 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 792,736,289

LCM of Fractions 792/83,736/88,289/84 is 21057696

2 792, 736, 289
2 396, 368, 289
2 198, 184, 289
99, 92, 289

∴ So the LCM of the given numbers is 2 x 2 x 2 x 99 x 92 x 289 = 21057696

Least Common Multiple of 792,736,289 with GCF Formula

Least Common Multiple of 792,736,289 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 792,736,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,736,289) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(792,736,289) x common factors =1 x 8 = 8

LCM(792,736,289) = ( 792 × 736 × 289 ) / 8

LCM(792,736,289) = 168461568 / 8

LCM(792,736,289) = 21057696


Lets's calculate GCF of 83,88,84

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21057696/1

Therefore the LCM of Fractions 792/83,736/88,289/84 is 21057696

Greatest Common Factor of 83,88,84 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,88,84 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Greatest Common Factor

We found the factors 83,88,84 . The biggest common factor number is the GCF number.
So the greatest common factor 83,88,84 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 792/83, 736/88, 289/84

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 792/83, 736/88, 289/84?

Answer: LCM of Numerators as per given numbers 792/83, 736/88, 289/84 is

LCM of Numerators i.e. for 792,736,289 is 21057696

GCF of denominators i.e. for 83,88,84 is 1.

Thus, LCM of Fractions is 21057696.Finally, LCM of Fractions for 792/83, 736/88, 289/84 is 21057696.