Least Common Multiple of 45/678, 3668/6369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/678, 3668/6369 quickly i.e. 55020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/678, 3668/6369 is 55020.

LCM(45/678, 3668/6369) = 55020

LCM of 45/678, 3668/6369

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 45/678,3668/6369

Given numbers are 45/678,3668/6369

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 45,3668

Least Common Multiple of Numerators i.e. LCM of 45,3668 is 165060.

GCF of Denominators means GCF of 678,6369 as per the given fractions.

GCF of 678,6369 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,3668

LCM of Fractions 45/678,3668/6369 is 55020

Given numbers has no common factors except 1. So, there LCM is their product i.e 165060

Least Common Multiple of 45,3668 with GCF Formula

Least Common Multiple of 45,3668 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 45,3668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,3668) = 1

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

GCF(45,3668) x common factors =1 x 1 = 1

LCM(45,3668) = ( 45 × 3668 ) / 1

LCM(45,3668) = 165060 / 1

LCM(45,3668) = 165060


Lets's calculate GCF of 678,6369

3 678, 6369
226, 2123

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 165060/3

Therefore the LCM of Fractions 45/678,3668/6369 is 55020

Greatest Common Factor of 678,6369 By Matching Biggest Common Factor Method

Greatest Common Factor of 678,6369 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 6369

List of positive integer factors of 6369 that divides 6369 without a remainder.

1,3,11,33,193,579,2123,6369

Greatest Common Factor

We found the factors 678,6369 . The biggest common factor number is the GCF number.
So the greatest common factor 678,6369 is 3.


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 45/678, 3668/6369

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 45/678, 3668/6369?

Answer: LCM of Numerators as per given numbers 45/678, 3668/6369 is

LCM of Numerators i.e. for 45,3668 is 165060

GCF of denominators i.e. for 678,6369 is 3.

Thus, LCM of Fractions is 55020.Finally, LCM of Fractions for 45/678, 3668/6369 is 55020.