Least Common Multiple of 600/455, 359/711, 944/444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 600/455, 359/711, 944/444 quickly i.e. 25417200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 600/455, 359/711, 944/444 is 25417200.

LCM(600/455, 359/711, 944/444) = 25417200

LCM of 600/455, 359/711, 944/444

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 600/455,359/711,944/444

Given numbers are 600/455,359/711,944/444

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 600,359,944

Least Common Multiple of Numerators i.e. LCM of 600,359,944 is 25417200.

GCF of Denominators means GCF of 455,711,444 as per the given fractions.

GCF of 455,711,444 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 600,359,944

LCM of Fractions 600/455,359/711,944/444 is 25417200

2 600, 359, 944
2 300, 359, 472
2 150, 359, 236
75, 359, 118

∴ So the LCM of the given numbers is 2 x 2 x 2 x 75 x 359 x 118 = 25417200

Least Common Multiple of 600,359,944 with GCF Formula

Least Common Multiple of 600,359,944 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 600,359,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,359,944) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(600,359,944) x common factors =1 x 8 = 8

LCM(600,359,944) = ( 600 × 359 × 944 ) / 8

LCM(600,359,944) = 203337600 / 8

LCM(600,359,944) = 25417200


Lets's calculate GCF of 455,711,444

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25417200/1

Therefore the LCM of Fractions 600/455,359/711,944/444 is 25417200

Greatest Common Factor of 455,711,444 By Matching Biggest Common Factor Method

Greatest Common Factor of 455,711,444 By Matching Biggest Common Factor Method

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Greatest Common Factor

We found the factors 455,711,444 . The biggest common factor number is the GCF number.
So the greatest common factor 455,711,444 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 600/455, 359/711, 944/444

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 600/455, 359/711, 944/444?

Answer: LCM of Numerators as per given numbers 600/455, 359/711, 944/444 is

LCM of Numerators i.e. for 600,359,944 is 25417200

GCF of denominators i.e. for 455,711,444 is 1.

Thus, LCM of Fractions is 25417200.Finally, LCM of Fractions for 600/455, 359/711, 944/444 is 25417200.