Least Common Multiple of 351/678, 5674/520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 351/678, 5674/520 quickly i.e. 995787 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 351/678, 5674/520 is 995787.

LCM(351/678, 5674/520) = 995787

LCM of 351/678, 5674/520

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 351/678,5674/520

Given numbers are 351/678,5674/520

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 351,5674

Least Common Multiple of Numerators i.e. LCM of 351,5674 is 1991574.

GCF of Denominators means GCF of 678,520 as per the given fractions.

GCF of 678,520 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 351,5674

LCM of Fractions 351/678,5674/520 is 995787

Given numbers has no common factors except 1. So, there LCM is their product i.e 1991574

Least Common Multiple of 351,5674 with GCF Formula

Least Common Multiple of 351,5674 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 351,5674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(351,5674) = 1

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

GCF(351,5674) x common factors =1 x 1 = 1

LCM(351,5674) = ( 351 × 5674 ) / 1

LCM(351,5674) = 1991574 / 1

LCM(351,5674) = 1991574


Lets's calculate GCF of 678,520

2 678, 520
339, 260

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1991574/2

Therefore the LCM of Fractions 351/678,5674/520 is 995787

Greatest Common Factor of 678,520 By Matching Biggest Common Factor Method

Greatest Common Factor of 678,520 By Matching Biggest Common Factor Method

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors 678,520 . The biggest common factor number is the GCF number.
So the greatest common factor 678,520 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 351/678, 5674/520

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 351/678, 5674/520?

Answer: LCM of Numerators as per given numbers 351/678, 5674/520 is

LCM of Numerators i.e. for 351,5674 is 1991574

GCF of denominators i.e. for 678,520 is 2.

Thus, LCM of Fractions is 995787.Finally, LCM of Fractions for 351/678, 5674/520 is 995787.