Least Common Multiple of 678/301, 9342/4350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 678/301, 9342/4350 quickly i.e. 1055646 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 678/301, 9342/4350 is 1055646.

LCM(678/301, 9342/4350) = 1055646

LCM of 678/301, 9342/4350

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 678/301,9342/4350

Given numbers are 678/301,9342/4350

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 678,9342

Least Common Multiple of Numerators i.e. LCM of 678,9342 is 1055646.

GCF of Denominators means GCF of 301,4350 as per the given fractions.

GCF of 301,4350 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 678,9342

LCM of Fractions 678/301,9342/4350 is 1055646

2 678, 9342
3 339, 4671
113, 1557

∴ So the LCM of the given numbers is 2 x 3 x 113 x 1557 = 1055646

Least Common Multiple of 678,9342 with GCF Formula

Least Common Multiple of 678,9342 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 678,9342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(678,9342) = 6

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

GCF(678,9342) x common factors =6 x 1 = 6

LCM(678,9342) = ( 678 × 9342 ) / 6

LCM(678,9342) = 6333876 / 6

LCM(678,9342) = 1055646


Lets's calculate GCF of 301,4350

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1055646/1

Therefore the LCM of Fractions 678/301,9342/4350 is 1055646

Greatest Common Factor of 301,4350 By Matching Biggest Common Factor Method

Greatest Common Factor of 301,4350 By Matching Biggest Common Factor Method

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Factors of 4350

List of positive integer factors of 4350 that divides 4350 without a remainder.

1,2,3,5,6,10,15,25,29,30,50,58,75,87,145,150,174,290,435,725,870,1450,2175,4350

Greatest Common Factor

We found the factors 301,4350 . The biggest common factor number is the GCF number.
So the greatest common factor 301,4350 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 678/301, 9342/4350

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 678/301, 9342/4350?

Answer: LCM of Numerators as per given numbers 678/301, 9342/4350 is

LCM of Numerators i.e. for 678,9342 is 1055646

GCF of denominators i.e. for 301,4350 is 1.

Thus, LCM of Fractions is 1055646.Finally, LCM of Fractions for 678/301, 9342/4350 is 1055646.