Least Common Multiple of 367/99, 779/34, 288/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 367/99, 779/34, 288/292 quickly i.e. 82337184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 367/99, 779/34, 288/292 is 82337184.

LCM(367/99, 779/34, 288/292) = 82337184

LCM of 367/99, 779/34, 288/292

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 367/99,779/34,288/292

Given numbers are 367/99,779/34,288/292

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 367,779,288

Least Common Multiple of Numerators i.e. LCM of 367,779,288 is 82337184.

GCF of Denominators means GCF of 99,34,292 as per the given fractions.

GCF of 99,34,292 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 367,779,288

LCM of Fractions 367/99,779/34,288/292 is 82337184

Given numbers has no common factors except 1. So, there LCM is their product i.e 82337184

Least Common Multiple of 367,779,288 with GCF Formula

Least Common Multiple of 367,779,288 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 367,779,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(367,779,288) = 1

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

GCF(367,779,288) x common factors =1 x 1 = 1

LCM(367,779,288) = ( 367 × 779 × 288 ) / 1

LCM(367,779,288) = 82337184 / 1

LCM(367,779,288) = 82337184


Lets's calculate GCF of 99,34,292

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82337184/1

Therefore the LCM of Fractions 367/99,779/34,288/292 is 82337184

Greatest Common Factor of 99,34,292 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,34,292 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Greatest Common Factor

We found the factors 99,34,292 . The biggest common factor number is the GCF number.
So the greatest common factor 99,34,292 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 367/99, 779/34, 288/292

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 367/99, 779/34, 288/292?

Answer: LCM of Numerators as per given numbers 367/99, 779/34, 288/292 is

LCM of Numerators i.e. for 367,779,288 is 82337184

GCF of denominators i.e. for 99,34,292 is 1.

Thus, LCM of Fractions is 82337184.Finally, LCM of Fractions for 367/99, 779/34, 288/292 is 82337184.