Least Common Multiple of 80/128, 28/868, 893/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/128, 28/868, 893/980 quickly i.e. 125020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/128, 28/868, 893/980 is 125020.

LCM(80/128, 28/868, 893/980) = 125020

LCM of 80/128, 28/868, 893/980

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 80/128,28/868,893/980

Given numbers are 80/128,28/868,893/980

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 80,28,893

Least Common Multiple of Numerators i.e. LCM of 80,28,893 is 500080.

GCF of Denominators means GCF of 128,868,980 as per the given fractions.

GCF of 128,868,980 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,28,893

LCM of Fractions 80/128,28/868,893/980 is 125020

2 80, 28, 893
2 40, 14, 893
20, 7, 893

∴ So the LCM of the given numbers is 2 x 2 x 20 x 7 x 893 = 500080

Least Common Multiple of 80,28,893 with GCF Formula

Least Common Multiple of 80,28,893 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 80,28,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,28,893) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(80,28,893) x common factors =1 x 4 = 4

LCM(80,28,893) = ( 80 × 28 × 893 ) / 4

LCM(80,28,893) = 2000320 / 4

LCM(80,28,893) = 500080


Lets's calculate GCF of 128,868,980

2 128, 868, 980
2 64, 434, 490
32, 217, 245

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 500080/4

Therefore the LCM of Fractions 80/128,28/868,893/980 is 125020

Greatest Common Factor of 128,868,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 128,868,980 By Matching Biggest Common Factor Method

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

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

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 128,868,980 . The biggest common factor number is the GCF number.
So the greatest common factor 128,868,980 is 4.


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 80/128, 28/868, 893/980

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 80/128, 28/868, 893/980?

Answer: LCM of Numerators as per given numbers 80/128, 28/868, 893/980 is

LCM of Numerators i.e. for 80,28,893 is 500080

GCF of denominators i.e. for 128,868,980 is 4.

Thus, LCM of Fractions is 125020.Finally, LCM of Fractions for 80/128, 28/868, 893/980 is 125020.