Least Common Multiple of 76/990, 86/965, 791/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/990, 86/965, 791/146 quickly i.e. 2584988 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/990, 86/965, 791/146 is 2584988.

LCM(76/990, 86/965, 791/146) = 2584988

LCM of 76/990, 86/965, 791/146

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 76/990,86/965,791/146

Given numbers are 76/990,86/965,791/146

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 76,86,791

Least Common Multiple of Numerators i.e. LCM of 76,86,791 is 2584988.

GCF of Denominators means GCF of 990,965,146 as per the given fractions.

GCF of 990,965,146 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,86,791

LCM of Fractions 76/990,86/965,791/146 is 2584988

2 76, 86, 791
38, 43, 791

∴ So the LCM of the given numbers is 2 x 38 x 43 x 791 = 2584988

Least Common Multiple of 76,86,791 with GCF Formula

Least Common Multiple of 76,86,791 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 76,86,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,86,791) = 1

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

GCF(76,86,791) x common factors =1 x 2 = 2

LCM(76,86,791) = ( 76 × 86 × 791 ) / 2

LCM(76,86,791) = 5169976 / 2

LCM(76,86,791) = 2584988


Lets's calculate GCF of 990,965,146

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2584988/1

Therefore the LCM of Fractions 76/990,86/965,791/146 is 2584988

Greatest Common Factor of 990,965,146 By Matching Biggest Common Factor Method

Greatest Common Factor of 990,965,146 By Matching Biggest Common Factor Method

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Greatest Common Factor

We found the factors 990,965,146 . The biggest common factor number is the GCF number.
So the greatest common factor 990,965,146 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 76/990, 86/965, 791/146

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 76/990, 86/965, 791/146?

Answer: LCM of Numerators as per given numbers 76/990, 86/965, 791/146 is

LCM of Numerators i.e. for 76,86,791 is 2584988

GCF of denominators i.e. for 990,965,146 is 1.

Thus, LCM of Fractions is 2584988.Finally, LCM of Fractions for 76/990, 86/965, 791/146 is 2584988.