Least Common Multiple of 99/768, 106/834, 692/887

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 99/768, 106/834, 692/887 quickly i.e. 3630924 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/768, 106/834, 692/887 is 3630924.

LCM(99/768, 106/834, 692/887) = 3630924

LCM of 99/768, 106/834, 692/887

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 99/768,106/834,692/887

Given numbers are 99/768,106/834,692/887

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 99,106,692

Least Common Multiple of Numerators i.e. LCM of 99,106,692 is 3630924.

GCF of Denominators means GCF of 768,834,887 as per the given fractions.

GCF of 768,834,887 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,106,692

LCM of Fractions 99/768,106/834,692/887 is 3630924

2 99, 106, 692
99, 53, 346

∴ So the LCM of the given numbers is 2 x 99 x 53 x 346 = 3630924

Least Common Multiple of 99,106,692 with GCF Formula

Least Common Multiple of 99,106,692 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 99,106,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,106,692) = 1

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

GCF(99,106,692) x common factors =1 x 2 = 2

LCM(99,106,692) = ( 99 × 106 × 692 ) / 2

LCM(99,106,692) = 7261848 / 2

LCM(99,106,692) = 3630924


Lets's calculate GCF of 768,834,887

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3630924/1

Therefore the LCM of Fractions 99/768,106/834,692/887 is 3630924

Greatest Common Factor of 768,834,887 By Matching Biggest Common Factor Method

Greatest Common Factor of 768,834,887 By Matching Biggest Common Factor Method

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Factors of 887

List of positive integer factors of 887 that divides 887 without a remainder.

1,887

Greatest Common Factor

We found the factors 768,834,887 . The biggest common factor number is the GCF number.
So the greatest common factor 768,834,887 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 99/768, 106/834, 692/887

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 99/768, 106/834, 692/887?

Answer: LCM of Numerators as per given numbers 99/768, 106/834, 692/887 is

LCM of Numerators i.e. for 99,106,692 is 3630924

GCF of denominators i.e. for 768,834,887 is 1.

Thus, LCM of Fractions is 3630924.Finally, LCM of Fractions for 99/768, 106/834, 692/887 is 3630924.