Least Common Multiple of 294/672, 190/592, 665/791

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 294/672, 190/592, 665/791 quickly i.e. 27930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 294/672, 190/592, 665/791 is 27930.

LCM(294/672, 190/592, 665/791) = 27930

LCM of 294/672, 190/592, 665/791

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 294/672,190/592,665/791

Given numbers are 294/672,190/592,665/791

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 294,190,665

Least Common Multiple of Numerators i.e. LCM of 294,190,665 is 27930.

GCF of Denominators means GCF of 672,592,791 as per the given fractions.

GCF of 672,592,791 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 294,190,665

LCM of Fractions 294/672,190/592,665/791 is 27930

2 294, 190, 665
5 147, 95, 665
7 147, 19, 133
19 21, 19, 19
21, 1, 1

∴ So the LCM of the given numbers is 2 x 5 x 7 x 19 x 21 x 1 x 1 = 27930

Least Common Multiple of 294,190,665 with GCF Formula

Least Common Multiple of 294,190,665 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 294,190,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(294,190,665) = 1

common factors(in case of two or more numbers have common factors) = 1330

GCF(294,190,665) x common factors =1 x 1330 = 1330

LCM(294,190,665) = ( 294 × 190 × 665 ) / 1330

LCM(294,190,665) = 37146900 / 1330

LCM(294,190,665) = 27930


Lets's calculate GCF of 672,592,791

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27930/1

Therefore the LCM of Fractions 294/672,190/592,665/791 is 27930

Greatest Common Factor of 672,592,791 By Matching Biggest Common Factor Method

Greatest Common Factor of 672,592,791 By Matching Biggest Common Factor Method

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Greatest Common Factor

We found the factors 672,592,791 . The biggest common factor number is the GCF number.
So the greatest common factor 672,592,791 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 294/672, 190/592, 665/791

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 294/672, 190/592, 665/791?

Answer: LCM of Numerators as per given numbers 294/672, 190/592, 665/791 is

LCM of Numerators i.e. for 294,190,665 is 27930

GCF of denominators i.e. for 672,592,791 is 1.

Thus, LCM of Fractions is 27930.Finally, LCM of Fractions for 294/672, 190/592, 665/791 is 27930.