Least Common Multiple of 711/449, 944/130, 992/943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 711/449, 944/130, 992/943 quickly i.e. 41613408 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 711/449, 944/130, 992/943 is 41613408.

LCM(711/449, 944/130, 992/943) = 41613408

LCM of 711/449, 944/130, 992/943

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 711/449,944/130,992/943

Given numbers are 711/449,944/130,992/943

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 711,944,992

Least Common Multiple of Numerators i.e. LCM of 711,944,992 is 41613408.

GCF of Denominators means GCF of 449,130,943 as per the given fractions.

GCF of 449,130,943 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 711,944,992

LCM of Fractions 711/449,944/130,992/943 is 41613408

2 711, 944, 992
2 711, 472, 496
2 711, 236, 248
2 711, 118, 124
711, 59, 62

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 711 x 59 x 62 = 41613408

Least Common Multiple of 711,944,992 with GCF Formula

Least Common Multiple of 711,944,992 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 711,944,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,944,992) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(711,944,992) x common factors =1 x 16 = 16

LCM(711,944,992) = ( 711 × 944 × 992 ) / 16

LCM(711,944,992) = 665814528 / 16

LCM(711,944,992) = 41613408


Lets's calculate GCF of 449,130,943

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41613408/1

Therefore the LCM of Fractions 711/449,944/130,992/943 is 41613408

Greatest Common Factor of 449,130,943 By Matching Biggest Common Factor Method

Greatest Common Factor of 449,130,943 By Matching Biggest Common Factor Method

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1,23,41,943

Greatest Common Factor

We found the factors 449,130,943 . The biggest common factor number is the GCF number.
So the greatest common factor 449,130,943 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 711/449, 944/130, 992/943

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 711/449, 944/130, 992/943?

Answer: LCM of Numerators as per given numbers 711/449, 944/130, 992/943 is

LCM of Numerators i.e. for 711,944,992 is 41613408

GCF of denominators i.e. for 449,130,943 is 1.

Thus, LCM of Fractions is 41613408.Finally, LCM of Fractions for 711/449, 944/130, 992/943 is 41613408.