Least Common Multiple of 43/758, 509/494, 133/521

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/758, 509/494, 133/521 quickly i.e. 2910971 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/758, 509/494, 133/521 is 2910971.

LCM(43/758, 509/494, 133/521) = 2910971

LCM of 43/758, 509/494, 133/521

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 43/758,509/494,133/521

Given numbers are 43/758,509/494,133/521

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 43,509,133

Least Common Multiple of Numerators i.e. LCM of 43,509,133 is 2910971.

GCF of Denominators means GCF of 758,494,521 as per the given fractions.

GCF of 758,494,521 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,509,133

LCM of Fractions 43/758,509/494,133/521 is 2910971

Given numbers has no common factors except 1. So, there LCM is their product i.e 2910971

Least Common Multiple of 43,509,133 with GCF Formula

Least Common Multiple of 43,509,133 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 43,509,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,509,133) = 1

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

GCF(43,509,133) x common factors =1 x 1 = 1

LCM(43,509,133) = ( 43 × 509 × 133 ) / 1

LCM(43,509,133) = 2910971 / 1

LCM(43,509,133) = 2910971


Lets's calculate GCF of 758,494,521

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2910971/1

Therefore the LCM of Fractions 43/758,509/494,133/521 is 2910971

Greatest Common Factor of 758,494,521 By Matching Biggest Common Factor Method

Greatest Common Factor of 758,494,521 By Matching Biggest Common Factor Method

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 521

List of positive integer factors of 521 that divides 521 without a remainder.

1,521

Greatest Common Factor

We found the factors 758,494,521 . The biggest common factor number is the GCF number.
So the greatest common factor 758,494,521 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 43/758, 509/494, 133/521

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 43/758, 509/494, 133/521?

Answer: LCM of Numerators as per given numbers 43/758, 509/494, 133/521 is

LCM of Numerators i.e. for 43,509,133 is 2910971

GCF of denominators i.e. for 758,494,521 is 1.

Thus, LCM of Fractions is 2910971.Finally, LCM of Fractions for 43/758, 509/494, 133/521 is 2910971.