Least Common Multiple of 43/58, 528/43, 641/964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/58, 528/43, 641/964 quickly i.e. 14553264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/58, 528/43, 641/964 is 14553264.

LCM(43/58, 528/43, 641/964) = 14553264

LCM of 43/58, 528/43, 641/964

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 43/58,528/43,641/964

Given numbers are 43/58,528/43,641/964

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 43,528,641

Least Common Multiple of Numerators i.e. LCM of 43,528,641 is 14553264.

GCF of Denominators means GCF of 58,43,964 as per the given fractions.

GCF of 58,43,964 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,528,641

LCM of Fractions 43/58,528/43,641/964 is 14553264

Given numbers has no common factors except 1. So, there LCM is their product i.e 14553264

Least Common Multiple of 43,528,641 with GCF Formula

Least Common Multiple of 43,528,641 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 43,528,641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,528,641) = 1

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

GCF(43,528,641) x common factors =1 x 1 = 1

LCM(43,528,641) = ( 43 × 528 × 641 ) / 1

LCM(43,528,641) = 14553264 / 1

LCM(43,528,641) = 14553264


Lets's calculate GCF of 58,43,964

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14553264/1

Therefore the LCM of Fractions 43/58,528/43,641/964 is 14553264

Greatest Common Factor of 58,43,964 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,43,964 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Greatest Common Factor

We found the factors 58,43,964 . The biggest common factor number is the GCF number.
So the greatest common factor 58,43,964 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 43/58, 528/43, 641/964

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 43/58, 528/43, 641/964?

Answer: LCM of Numerators as per given numbers 43/58, 528/43, 641/964 is

LCM of Numerators i.e. for 43,528,641 is 14553264

GCF of denominators i.e. for 58,43,964 is 1.

Thus, LCM of Fractions is 14553264.Finally, LCM of Fractions for 43/58, 528/43, 641/964 is 14553264.