Least Common Multiple of 35/926, 28/494, 787/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/926, 28/494, 787/704 quickly i.e. 55090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/926, 28/494, 787/704 is 55090.

LCM(35/926, 28/494, 787/704) = 55090

LCM of 35/926, 28/494, 787/704

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 35/926,28/494,787/704

Given numbers are 35/926,28/494,787/704

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 35,28,787

Least Common Multiple of Numerators i.e. LCM of 35,28,787 is 110180.

GCF of Denominators means GCF of 926,494,704 as per the given fractions.

GCF of 926,494,704 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,28,787

LCM of Fractions 35/926,28/494,787/704 is 55090

7 35, 28, 787
5, 4, 787

∴ So the LCM of the given numbers is 7 x 5 x 4 x 787 = 110180

Least Common Multiple of 35,28,787 with GCF Formula

Least Common Multiple of 35,28,787 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 35,28,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,28,787) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(35,28,787) x common factors =1 x 7 = 7

LCM(35,28,787) = ( 35 × 28 × 787 ) / 7

LCM(35,28,787) = 771260 / 7

LCM(35,28,787) = 110180


Lets's calculate GCF of 926,494,704

2 926, 494, 704
463, 247, 352

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 110180/2

Therefore the LCM of Fractions 35/926,28/494,787/704 is 55090

Greatest Common Factor of 926,494,704 By Matching Biggest Common Factor Method

Greatest Common Factor of 926,494,704 By Matching Biggest Common Factor Method

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Greatest Common Factor

We found the factors 926,494,704 . The biggest common factor number is the GCF number.
So the greatest common factor 926,494,704 is 2.


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 35/926, 28/494, 787/704

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 35/926, 28/494, 787/704?

Answer: LCM of Numerators as per given numbers 35/926, 28/494, 787/704 is

LCM of Numerators i.e. for 35,28,787 is 110180

GCF of denominators i.e. for 926,494,704 is 2.

Thus, LCM of Fractions is 55090.Finally, LCM of Fractions for 35/926, 28/494, 787/704 is 55090.