Least Common Multiple of 45/421, 6754/5842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/421, 6754/5842 quickly i.e. 303930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/421, 6754/5842 is 303930.

LCM(45/421, 6754/5842) = 303930

LCM of 45/421, 6754/5842

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 45/421,6754/5842

Given numbers are 45/421,6754/5842

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 45,6754

Least Common Multiple of Numerators i.e. LCM of 45,6754 is 303930.

GCF of Denominators means GCF of 421,5842 as per the given fractions.

GCF of 421,5842 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,6754

LCM of Fractions 45/421,6754/5842 is 303930

Given numbers has no common factors except 1. So, there LCM is their product i.e 303930

Least Common Multiple of 45,6754 with GCF Formula

Least Common Multiple of 45,6754 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 45,6754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,6754) = 1

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

GCF(45,6754) x common factors =1 x 1 = 1

LCM(45,6754) = ( 45 × 6754 ) / 1

LCM(45,6754) = 303930 / 1

LCM(45,6754) = 303930


Lets's calculate GCF of 421,5842

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 303930/1

Therefore the LCM of Fractions 45/421,6754/5842 is 303930

Greatest Common Factor of 421,5842 By Matching Biggest Common Factor Method

Greatest Common Factor of 421,5842 By Matching Biggest Common Factor Method

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Factors of 5842

List of positive integer factors of 5842 that divides 5842 without a remainder.

1,2,23,46,127,254,2921,5842

Greatest Common Factor

We found the factors 421,5842 . The biggest common factor number is the GCF number.
So the greatest common factor 421,5842 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 45/421, 6754/5842

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 45/421, 6754/5842?

Answer: LCM of Numerators as per given numbers 45/421, 6754/5842 is

LCM of Numerators i.e. for 45,6754 is 303930

GCF of denominators i.e. for 421,5842 is 1.

Thus, LCM of Fractions is 303930.Finally, LCM of Fractions for 45/421, 6754/5842 is 303930.