Least Common Multiple of 65/98, 10/83, 28/50, 80/876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/98, 10/83, 28/50, 80/876 quickly i.e. 7280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/98, 10/83, 28/50, 80/876 is 7280.

LCM(65/98, 10/83, 28/50, 80/876) = 7280

LCM of 65/98, 10/83, 28/50, 80/876

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 65/98,10/83,28/50,80/876

Given numbers are 65/98,10/83,28/50,80/876

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 65,10,28,80

Least Common Multiple of Numerators i.e. LCM of 65,10,28,80 is 7280.

GCF of Denominators means GCF of 98,83,50,876 as per the given fractions.

GCF of 98,83,50,876 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,10,28,80

LCM of Fractions 65/98,10/83,28/50,80/876 is 7280

2 65, 10, 28, 80
2 65, 5, 14, 40
5 65, 5, 7, 20
13, 1, 7, 4

∴ So the LCM of the given numbers is 2 x 2 x 5 x 13 x 1 x 7 x 4 = 7280

Least Common Multiple of 65,10,28,80 with GCF Formula

Least Common Multiple of 65,10,28,80 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 65,10,28,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,10,28,80) = 1

common factors(in case of two or more numbers have common factors) = 200

GCF(65,10,28,80) x common factors =1 x 200 = 200

LCM(65,10,28,80) = ( 65 × 10 × 28 × 80 ) / 200

LCM(65,10,28,80) = 1456000 / 200

LCM(65,10,28,80) = 7280


Lets's calculate GCF of 98,83,50,876

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7280/1

Therefore the LCM of Fractions 65/98,10/83,28/50,80/876 is 7280

Greatest Common Factor of 98,83,50,876 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,83,50,876 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Greatest Common Factor

We found the factors 98,83,50,876 . The biggest common factor number is the GCF number.
So the greatest common factor 98,83,50,876 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 65/98, 10/83, 28/50, 80/876

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 65/98, 10/83, 28/50, 80/876?

Answer: LCM of Numerators as per given numbers 65/98, 10/83, 28/50, 80/876 is

LCM of Numerators i.e. for 65,10,28,80 is 7280

GCF of denominators i.e. for 98,83,50,876 is 1.

Thus, LCM of Fractions is 7280.Finally, LCM of Fractions for 65/98, 10/83, 28/50, 80/876 is 7280.