Least Common Multiple of 675/65, 777/61, 676/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 675/65, 777/61, 676/990 quickly i.e. 118181700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 675/65, 777/61, 676/990 is 118181700.

LCM(675/65, 777/61, 676/990) = 118181700

LCM of 675/65, 777/61, 676/990

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 675/65,777/61,676/990

Given numbers are 675/65,777/61,676/990

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 675,777,676

Least Common Multiple of Numerators i.e. LCM of 675,777,676 is 118181700.

GCF of Denominators means GCF of 65,61,990 as per the given fractions.

GCF of 65,61,990 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 675,777,676

LCM of Fractions 675/65,777/61,676/990 is 118181700

3 675, 777, 676
225, 259, 676

∴ So the LCM of the given numbers is 3 x 225 x 259 x 676 = 118181700

Least Common Multiple of 675,777,676 with GCF Formula

Least Common Multiple of 675,777,676 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 675,777,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(675,777,676) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(675,777,676) x common factors =1 x 3 = 3

LCM(675,777,676) = ( 675 × 777 × 676 ) / 3

LCM(675,777,676) = 354545100 / 3

LCM(675,777,676) = 118181700


Lets's calculate GCF of 65,61,990

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118181700/1

Therefore the LCM of Fractions 675/65,777/61,676/990 is 118181700

Greatest Common Factor of 65,61,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,61,990 By Matching Biggest Common Factor Method

Factors of 65

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

1,5,13,65

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

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

Greatest Common Factor

We found the factors 65,61,990 . The biggest common factor number is the GCF number.
So the greatest common factor 65,61,990 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 675/65, 777/61, 676/990

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 675/65, 777/61, 676/990?

Answer: LCM of Numerators as per given numbers 675/65, 777/61, 676/990 is

LCM of Numerators i.e. for 675,777,676 is 118181700

GCF of denominators i.e. for 65,61,990 is 1.

Thus, LCM of Fractions is 118181700.Finally, LCM of Fractions for 675/65, 777/61, 676/990 is 118181700.