Least Common Multiple of 98/900, 944/65, 831/975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/900, 944/65, 831/975 quickly i.e. 38438736/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/900, 944/65, 831/975 is 38438736/5.

LCM(98/900, 944/65, 831/975) = 38438736/5

LCM of 98/900, 944/65, 831/975

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 98/900,944/65,831/975

Given numbers are 98/900,944/65,831/975

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 98,944,831

Least Common Multiple of Numerators i.e. LCM of 98,944,831 is 38438736.

GCF of Denominators means GCF of 900,65,975 as per the given fractions.

GCF of 900,65,975 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,944,831

LCM of Fractions 98/900,944/65,831/975 is 38438736/5

2 98, 944, 831
49, 472, 831

∴ So the LCM of the given numbers is 2 x 49 x 472 x 831 = 38438736

Least Common Multiple of 98,944,831 with GCF Formula

Least Common Multiple of 98,944,831 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 98,944,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,944,831) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(98,944,831) x common factors =1 x 2 = 2

LCM(98,944,831) = ( 98 × 944 × 831 ) / 2

LCM(98,944,831) = 76877472 / 2

LCM(98,944,831) = 38438736


Lets's calculate GCF of 900,65,975

5 900, 65, 975
180, 13, 195

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38438736/5

Therefore the LCM of Fractions 98/900,944/65,831/975 is 38438736/5

Greatest Common Factor of 900,65,975 By Matching Biggest Common Factor Method

Greatest Common Factor of 900,65,975 By Matching Biggest Common Factor Method

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Greatest Common Factor

We found the factors 900,65,975 . The biggest common factor number is the GCF number.
So the greatest common factor 900,65,975 is 5.


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 98/900, 944/65, 831/975

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 98/900, 944/65, 831/975?

Answer: LCM of Numerators as per given numbers 98/900, 944/65, 831/975 is

LCM of Numerators i.e. for 98,944,831 is 38438736

GCF of denominators i.e. for 900,65,975 is 5.

Thus, LCM of Fractions is 38438736/5.Finally, LCM of Fractions for 98/900, 944/65, 831/975 is 38438736/5.