Least Common Multiple of 43/291, 75/491, 684/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/291, 75/491, 684/734 quickly i.e. 735300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/291, 75/491, 684/734 is 735300.

LCM(43/291, 75/491, 684/734) = 735300

LCM of 43/291, 75/491, 684/734

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 43/291,75/491,684/734

Given numbers are 43/291,75/491,684/734

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 43,75,684

Least Common Multiple of Numerators i.e. LCM of 43,75,684 is 735300.

GCF of Denominators means GCF of 291,491,734 as per the given fractions.

GCF of 291,491,734 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,75,684

LCM of Fractions 43/291,75/491,684/734 is 735300

3 43, 75, 684
43, 25, 228

∴ So the LCM of the given numbers is 3 x 43 x 25 x 228 = 735300

Least Common Multiple of 43,75,684 with GCF Formula

Least Common Multiple of 43,75,684 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 43,75,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,75,684) = 1

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

GCF(43,75,684) x common factors =1 x 3 = 3

LCM(43,75,684) = ( 43 × 75 × 684 ) / 3

LCM(43,75,684) = 2205900 / 3

LCM(43,75,684) = 735300


Lets's calculate GCF of 291,491,734

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 735300/1

Therefore the LCM of Fractions 43/291,75/491,684/734 is 735300

Greatest Common Factor of 291,491,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 291,491,734 By Matching Biggest Common Factor Method

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Greatest Common Factor

We found the factors 291,491,734 . The biggest common factor number is the GCF number.
So the greatest common factor 291,491,734 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 43/291, 75/491, 684/734

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 43/291, 75/491, 684/734?

Answer: LCM of Numerators as per given numbers 43/291, 75/491, 684/734 is

LCM of Numerators i.e. for 43,75,684 is 735300

GCF of denominators i.e. for 291,491,734 is 1.

Thus, LCM of Fractions is 735300.Finally, LCM of Fractions for 43/291, 75/491, 684/734 is 735300.