Least Common Multiple of 43/76, 990/58, 344/947

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/76, 990/58, 344/947 quickly i.e. 170280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/76, 990/58, 344/947 is 170280.

LCM(43/76, 990/58, 344/947) = 170280

LCM of 43/76, 990/58, 344/947

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 43/76,990/58,344/947

Given numbers are 43/76,990/58,344/947

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 43,990,344

Least Common Multiple of Numerators i.e. LCM of 43,990,344 is 170280.

GCF of Denominators means GCF of 76,58,947 as per the given fractions.

GCF of 76,58,947 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,990,344

LCM of Fractions 43/76,990/58,344/947 is 170280

2 43, 990, 344
43 43, 495, 172
1, 495, 4

∴ So the LCM of the given numbers is 2 x 43 x 1 x 495 x 4 = 170280

Least Common Multiple of 43,990,344 with GCF Formula

Least Common Multiple of 43,990,344 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 43,990,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,990,344) = 1

common factors(in case of two or more numbers have common factors) = 86

GCF(43,990,344) x common factors =1 x 86 = 86

LCM(43,990,344) = ( 43 × 990 × 344 ) / 86

LCM(43,990,344) = 14644080 / 86

LCM(43,990,344) = 170280


Lets's calculate GCF of 76,58,947

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 170280/1

Therefore the LCM of Fractions 43/76,990/58,344/947 is 170280

Greatest Common Factor of 76,58,947 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,58,947 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 58

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

1,2,29,58

Factors of 947

List of positive integer factors of 947 that divides 947 without a remainder.

1,947

Greatest Common Factor

We found the factors 76,58,947 . The biggest common factor number is the GCF number.
So the greatest common factor 76,58,947 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 43/76, 990/58, 344/947

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 43/76, 990/58, 344/947?

Answer: LCM of Numerators as per given numbers 43/76, 990/58, 344/947 is

LCM of Numerators i.e. for 43,990,344 is 170280

GCF of denominators i.e. for 76,58,947 is 1.

Thus, LCM of Fractions is 170280.Finally, LCM of Fractions for 43/76, 990/58, 344/947 is 170280.