Least Common Multiple of 109/787, 796/528, 638/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 109/787, 796/528, 638/759 quickly i.e. 27677716 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 109/787, 796/528, 638/759 is 27677716.

LCM(109/787, 796/528, 638/759) = 27677716

LCM of 109/787, 796/528, 638/759

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 109/787,796/528,638/759

Given numbers are 109/787,796/528,638/759

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 109,796,638

Least Common Multiple of Numerators i.e. LCM of 109,796,638 is 27677716.

GCF of Denominators means GCF of 787,528,759 as per the given fractions.

GCF of 787,528,759 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 109,796,638

LCM of Fractions 109/787,796/528,638/759 is 27677716

2 109, 796, 638
109, 398, 319

∴ So the LCM of the given numbers is 2 x 109 x 398 x 319 = 27677716

Least Common Multiple of 109,796,638 with GCF Formula

Least Common Multiple of 109,796,638 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 109,796,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(109,796,638) = 1

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

GCF(109,796,638) x common factors =1 x 2 = 2

LCM(109,796,638) = ( 109 × 796 × 638 ) / 2

LCM(109,796,638) = 55355432 / 2

LCM(109,796,638) = 27677716


Lets's calculate GCF of 787,528,759

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27677716/1

Therefore the LCM of Fractions 109/787,796/528,638/759 is 27677716

Greatest Common Factor of 787,528,759 By Matching Biggest Common Factor Method

Greatest Common Factor of 787,528,759 By Matching Biggest Common Factor Method

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Greatest Common Factor

We found the factors 787,528,759 . The biggest common factor number is the GCF number.
So the greatest common factor 787,528,759 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 109/787, 796/528, 638/759

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 109/787, 796/528, 638/759?

Answer: LCM of Numerators as per given numbers 109/787, 796/528, 638/759 is

LCM of Numerators i.e. for 109,796,638 is 27677716

GCF of denominators i.e. for 787,528,759 is 1.

Thus, LCM of Fractions is 27677716.Finally, LCM of Fractions for 109/787, 796/528, 638/759 is 27677716.