Least Common Multiple of 45/219, 1381/8345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/219, 1381/8345 quickly i.e. 62145 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/219, 1381/8345 is 62145.

LCM(45/219, 1381/8345) = 62145

LCM of 45/219, 1381/8345

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 45/219,1381/8345

Given numbers are 45/219,1381/8345

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 45,1381

Least Common Multiple of Numerators i.e. LCM of 45,1381 is 62145.

GCF of Denominators means GCF of 219,8345 as per the given fractions.

GCF of 219,8345 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,1381

LCM of Fractions 45/219,1381/8345 is 62145

Given numbers has no common factors except 1. So, there LCM is their product i.e 62145

Least Common Multiple of 45,1381 with GCF Formula

Least Common Multiple of 45,1381 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 45,1381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,1381) = 1

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

GCF(45,1381) x common factors =1 x 1 = 1

LCM(45,1381) = ( 45 × 1381 ) / 1

LCM(45,1381) = 62145 / 1

LCM(45,1381) = 62145


Lets's calculate GCF of 219,8345

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62145/1

Therefore the LCM of Fractions 45/219,1381/8345 is 62145

Greatest Common Factor of 219,8345 By Matching Biggest Common Factor Method

Greatest Common Factor of 219,8345 By Matching Biggest Common Factor Method

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Factors of 8345

List of positive integer factors of 8345 that divides 8345 without a remainder.

1,5,1669,8345

Greatest Common Factor

We found the factors 219,8345 . The biggest common factor number is the GCF number.
So the greatest common factor 219,8345 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 45/219, 1381/8345

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 45/219, 1381/8345?

Answer: LCM of Numerators as per given numbers 45/219, 1381/8345 is

LCM of Numerators i.e. for 45,1381 is 62145

GCF of denominators i.e. for 219,8345 is 1.

Thus, LCM of Fractions is 62145.Finally, LCM of Fractions for 45/219, 1381/8345 is 62145.