Least Common Multiple of 89/256, 20/784, 880/431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/256, 20/784, 880/431 quickly i.e. 78320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/256, 20/784, 880/431 is 78320.

LCM(89/256, 20/784, 880/431) = 78320

LCM of 89/256, 20/784, 880/431

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 89/256,20/784,880/431

Given numbers are 89/256,20/784,880/431

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 89,20,880

Least Common Multiple of Numerators i.e. LCM of 89,20,880 is 78320.

GCF of Denominators means GCF of 256,784,431 as per the given fractions.

GCF of 256,784,431 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,20,880

LCM of Fractions 89/256,20/784,880/431 is 78320

2 89, 20, 880
2 89, 10, 440
5 89, 5, 220
89, 1, 44

∴ So the LCM of the given numbers is 2 x 2 x 5 x 89 x 1 x 44 = 78320

Least Common Multiple of 89,20,880 with GCF Formula

Least Common Multiple of 89,20,880 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 89,20,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,20,880) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(89,20,880) x common factors =1 x 20 = 20

LCM(89,20,880) = ( 89 × 20 × 880 ) / 20

LCM(89,20,880) = 1566400 / 20

LCM(89,20,880) = 78320


Lets's calculate GCF of 256,784,431

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78320/1

Therefore the LCM of Fractions 89/256,20/784,880/431 is 78320

Greatest Common Factor of 256,784,431 By Matching Biggest Common Factor Method

Greatest Common Factor of 256,784,431 By Matching Biggest Common Factor Method

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1,431

Greatest Common Factor

We found the factors 256,784,431 . The biggest common factor number is the GCF number.
So the greatest common factor 256,784,431 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 89/256, 20/784, 880/431

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 89/256, 20/784, 880/431?

Answer: LCM of Numerators as per given numbers 89/256, 20/784, 880/431 is

LCM of Numerators i.e. for 89,20,880 is 78320

GCF of denominators i.e. for 256,784,431 is 1.

Thus, LCM of Fractions is 78320.Finally, LCM of Fractions for 89/256, 20/784, 880/431 is 78320.