Least Common Multiple of 678/286, 9340/7508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 678/286, 9340/7508 quickly i.e. 1583130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 678/286, 9340/7508 is 1583130.

LCM(678/286, 9340/7508) = 1583130

LCM of 678/286, 9340/7508

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 678/286,9340/7508

Given numbers are 678/286,9340/7508

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 678,9340

Least Common Multiple of Numerators i.e. LCM of 678,9340 is 3166260.

GCF of Denominators means GCF of 286,7508 as per the given fractions.

GCF of 286,7508 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 678,9340

LCM of Fractions 678/286,9340/7508 is 1583130

2 678, 9340
339, 4670

∴ So the LCM of the given numbers is 2 x 339 x 4670 = 3166260

Least Common Multiple of 678,9340 with GCF Formula

Least Common Multiple of 678,9340 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 678,9340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(678,9340) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(678,9340) x common factors =2 x 1 = 2

LCM(678,9340) = ( 678 × 9340 ) / 2

LCM(678,9340) = 6332520 / 2

LCM(678,9340) = 3166260


Lets's calculate GCF of 286,7508

2 286, 7508
143, 3754

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3166260/2

Therefore the LCM of Fractions 678/286,9340/7508 is 1583130

Greatest Common Factor of 286,7508 By Matching Biggest Common Factor Method

Greatest Common Factor of 286,7508 By Matching Biggest Common Factor Method

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 7508

List of positive integer factors of 7508 that divides 7508 without a remainder.

1,2,4,1877,3754,7508

Greatest Common Factor

We found the factors 286,7508 . The biggest common factor number is the GCF number.
So the greatest common factor 286,7508 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 678/286, 9340/7508

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 678/286, 9340/7508?

Answer: LCM of Numerators as per given numbers 678/286, 9340/7508 is

LCM of Numerators i.e. for 678,9340 is 3166260

GCF of denominators i.e. for 286,7508 is 2.

Thus, LCM of Fractions is 1583130.Finally, LCM of Fractions for 678/286, 9340/7508 is 1583130.