Least Common Multiple of 291/310, 639/192, 734/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 291/310, 639/192, 734/438 quickly i.e. 22747761 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 291/310, 639/192, 734/438 is 22747761.

LCM(291/310, 639/192, 734/438) = 22747761

LCM of 291/310, 639/192, 734/438

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 291/310,639/192,734/438

Given numbers are 291/310,639/192,734/438

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 291,639,734

Least Common Multiple of Numerators i.e. LCM of 291,639,734 is 45495522.

GCF of Denominators means GCF of 310,192,438 as per the given fractions.

GCF of 310,192,438 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 291,639,734

LCM of Fractions 291/310,639/192,734/438 is 22747761

3 291, 639, 734
97, 213, 734

∴ So the LCM of the given numbers is 3 x 97 x 213 x 734 = 45495522

Least Common Multiple of 291,639,734 with GCF Formula

Least Common Multiple of 291,639,734 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 291,639,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(291,639,734) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(291,639,734) x common factors =1 x 3 = 3

LCM(291,639,734) = ( 291 × 639 × 734 ) / 3

LCM(291,639,734) = 136486566 / 3

LCM(291,639,734) = 45495522


Lets's calculate GCF of 310,192,438

2 310, 192, 438
155, 96, 219

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45495522/2

Therefore the LCM of Fractions 291/310,639/192,734/438 is 22747761

Greatest Common Factor of 310,192,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 310,192,438 By Matching Biggest Common Factor Method

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 310,192,438 . The biggest common factor number is the GCF number.
So the greatest common factor 310,192,438 is 2.


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 291/310, 639/192, 734/438

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 291/310, 639/192, 734/438?

Answer: LCM of Numerators as per given numbers 291/310, 639/192, 734/438 is

LCM of Numerators i.e. for 291,639,734 is 45495522

GCF of denominators i.e. for 310,192,438 is 2.

Thus, LCM of Fractions is 22747761.Finally, LCM of Fractions for 291/310, 639/192, 734/438 is 22747761.