Least Common Multiple of 926/260, 354/315, 768/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 926/260, 354/315, 768/782 quickly i.e. 20979456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 926/260, 354/315, 768/782 is 20979456.

LCM(926/260, 354/315, 768/782) = 20979456

LCM of 926/260, 354/315, 768/782

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 926/260,354/315,768/782

Given numbers are 926/260,354/315,768/782

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 926,354,768

Least Common Multiple of Numerators i.e. LCM of 926,354,768 is 20979456.

GCF of Denominators means GCF of 260,315,782 as per the given fractions.

GCF of 260,315,782 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 926,354,768

LCM of Fractions 926/260,354/315,768/782 is 20979456

2 926, 354, 768
3 463, 177, 384
463, 59, 128

∴ So the LCM of the given numbers is 2 x 3 x 463 x 59 x 128 = 20979456

Least Common Multiple of 926,354,768 with GCF Formula

Least Common Multiple of 926,354,768 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 926,354,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(926,354,768) = 2

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

GCF(926,354,768) x common factors =2 x 6 = 12

LCM(926,354,768) = ( 926 × 354 × 768 ) / 12

LCM(926,354,768) = 251753472 / 12

LCM(926,354,768) = 20979456


Lets's calculate GCF of 260,315,782

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20979456/1

Therefore the LCM of Fractions 926/260,354/315,768/782 is 20979456

Greatest Common Factor of 260,315,782 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,315,782 By Matching Biggest Common Factor Method

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Greatest Common Factor

We found the factors 260,315,782 . The biggest common factor number is the GCF number.
So the greatest common factor 260,315,782 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 926/260, 354/315, 768/782

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 926/260, 354/315, 768/782?

Answer: LCM of Numerators as per given numbers 926/260, 354/315, 768/782 is

LCM of Numerators i.e. for 926,354,768 is 20979456

GCF of denominators i.e. for 260,315,782 is 1.

Thus, LCM of Fractions is 20979456.Finally, LCM of Fractions for 926/260, 354/315, 768/782 is 20979456.