Least Common Multiple of 45/57, 62/59, 341/463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/57, 62/59, 341/463 quickly i.e. 30690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/57, 62/59, 341/463 is 30690.

LCM(45/57, 62/59, 341/463) = 30690

LCM of 45/57, 62/59, 341/463

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 45/57,62/59,341/463

Given numbers are 45/57,62/59,341/463

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 45,62,341

Least Common Multiple of Numerators i.e. LCM of 45,62,341 is 30690.

GCF of Denominators means GCF of 57,59,463 as per the given fractions.

GCF of 57,59,463 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,62,341

LCM of Fractions 45/57,62/59,341/463 is 30690

31 45, 62, 341
45, 2, 11

∴ So the LCM of the given numbers is 31 x 45 x 2 x 11 = 30690

Least Common Multiple of 45,62,341 with GCF Formula

Least Common Multiple of 45,62,341 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 45,62,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,62,341) = 1

common factors(in case of two or more numbers have common factors) = 31

GCF(45,62,341) x common factors =1 x 31 = 31

LCM(45,62,341) = ( 45 × 62 × 341 ) / 31

LCM(45,62,341) = 951390 / 31

LCM(45,62,341) = 30690


Lets's calculate GCF of 57,59,463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30690/1

Therefore the LCM of Fractions 45/57,62/59,341/463 is 30690

Greatest Common Factor of 57,59,463 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,59,463 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Greatest Common Factor

We found the factors 57,59,463 . The biggest common factor number is the GCF number.
So the greatest common factor 57,59,463 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 45/57, 62/59, 341/463

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 45/57, 62/59, 341/463?

Answer: LCM of Numerators as per given numbers 45/57, 62/59, 341/463 is

LCM of Numerators i.e. for 45,62,341 is 30690

GCF of denominators i.e. for 57,59,463 is 1.

Thus, LCM of Fractions is 30690.Finally, LCM of Fractions for 45/57, 62/59, 341/463 is 30690.