Least Common Multiple of 928/99, 966/66, 909/765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 928/99, 966/66, 909/765 quickly i.e. 45270624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 928/99, 966/66, 909/765 is 45270624.

LCM(928/99, 966/66, 909/765) = 45270624

LCM of 928/99, 966/66, 909/765

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 928/99,966/66,909/765

Given numbers are 928/99,966/66,909/765

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 928,966,909

Least Common Multiple of Numerators i.e. LCM of 928,966,909 is 135811872.

GCF of Denominators means GCF of 99,66,765 as per the given fractions.

GCF of 99,66,765 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 928,966,909

LCM of Fractions 928/99,966/66,909/765 is 45270624

2 928, 966, 909
3 464, 483, 909
464, 161, 303

∴ So the LCM of the given numbers is 2 x 3 x 464 x 161 x 303 = 135811872

Least Common Multiple of 928,966,909 with GCF Formula

Least Common Multiple of 928,966,909 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 928,966,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(928,966,909) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(928,966,909) x common factors =1 x 6 = 6

LCM(928,966,909) = ( 928 × 966 × 909 ) / 6

LCM(928,966,909) = 814871232 / 6

LCM(928,966,909) = 135811872


Lets's calculate GCF of 99,66,765

3 99, 66, 765
33, 22, 255

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 135811872/3

Therefore the LCM of Fractions 928/99,966/66,909/765 is 45270624

Greatest Common Factor of 99,66,765 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,66,765 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Greatest Common Factor

We found the factors 99,66,765 . The biggest common factor number is the GCF number.
So the greatest common factor 99,66,765 is 3.


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 928/99, 966/66, 909/765

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 928/99, 966/66, 909/765?

Answer: LCM of Numerators as per given numbers 928/99, 966/66, 909/765 is

LCM of Numerators i.e. for 928,966,909 is 135811872

GCF of denominators i.e. for 99,66,765 is 3.

Thus, LCM of Fractions is 45270624.Finally, LCM of Fractions for 928/99, 966/66, 909/765 is 45270624.