Least Common Multiple of 89/437, 600/379, 256/560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/437, 600/379, 256/560 quickly i.e. 1708800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/437, 600/379, 256/560 is 1708800.

LCM(89/437, 600/379, 256/560) = 1708800

LCM of 89/437, 600/379, 256/560

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 89/437,600/379,256/560

Given numbers are 89/437,600/379,256/560

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 89,600,256

Least Common Multiple of Numerators i.e. LCM of 89,600,256 is 1708800.

GCF of Denominators means GCF of 437,379,560 as per the given fractions.

GCF of 437,379,560 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,600,256

LCM of Fractions 89/437,600/379,256/560 is 1708800

2 89, 600, 256
2 89, 300, 128
2 89, 150, 64
89, 75, 32

∴ So the LCM of the given numbers is 2 x 2 x 2 x 89 x 75 x 32 = 1708800

Least Common Multiple of 89,600,256 with GCF Formula

Least Common Multiple of 89,600,256 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 89,600,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,600,256) = 1

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

GCF(89,600,256) x common factors =1 x 8 = 8

LCM(89,600,256) = ( 89 × 600 × 256 ) / 8

LCM(89,600,256) = 13670400 / 8

LCM(89,600,256) = 1708800


Lets's calculate GCF of 437,379,560

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1708800/1

Therefore the LCM of Fractions 89/437,600/379,256/560 is 1708800

Greatest Common Factor of 437,379,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 437,379,560 By Matching Biggest Common Factor Method

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1,19,23,437

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 437,379,560 . The biggest common factor number is the GCF number.
So the greatest common factor 437,379,560 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 89/437, 600/379, 256/560

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 89/437, 600/379, 256/560?

Answer: LCM of Numerators as per given numbers 89/437, 600/379, 256/560 is

LCM of Numerators i.e. for 89,600,256 is 1708800

GCF of denominators i.e. for 437,379,560 is 1.

Thus, LCM of Fractions is 1708800.Finally, LCM of Fractions for 89/437, 600/379, 256/560 is 1708800.