Least Common Multiple of 63/59, 193/77, 399/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 63/59, 193/77, 399/314 quickly i.e. 231021 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/59, 193/77, 399/314 is 231021.

LCM(63/59, 193/77, 399/314) = 231021

LCM of 63/59, 193/77, 399/314

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 63/59,193/77,399/314

Given numbers are 63/59,193/77,399/314

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 63,193,399

Least Common Multiple of Numerators i.e. LCM of 63,193,399 is 231021.

GCF of Denominators means GCF of 59,77,314 as per the given fractions.

GCF of 59,77,314 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,193,399

LCM of Fractions 63/59,193/77,399/314 is 231021

3 63, 193, 399
7 21, 193, 133
3, 193, 19

∴ So the LCM of the given numbers is 3 x 7 x 3 x 193 x 19 = 231021

Least Common Multiple of 63,193,399 with GCF Formula

Least Common Multiple of 63,193,399 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 63,193,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,193,399) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(63,193,399) x common factors =1 x 21 = 21

LCM(63,193,399) = ( 63 × 193 × 399 ) / 21

LCM(63,193,399) = 4851441 / 21

LCM(63,193,399) = 231021


Lets's calculate GCF of 59,77,314

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 231021/1

Therefore the LCM of Fractions 63/59,193/77,399/314 is 231021

Greatest Common Factor of 59,77,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,77,314 By Matching Biggest Common Factor Method

Factors of 59

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

1,59

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 59,77,314 . The biggest common factor number is the GCF number.
So the greatest common factor 59,77,314 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 63/59, 193/77, 399/314

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 63/59, 193/77, 399/314?

Answer: LCM of Numerators as per given numbers 63/59, 193/77, 399/314 is

LCM of Numerators i.e. for 63,193,399 is 231021

GCF of denominators i.e. for 59,77,314 is 1.

Thus, LCM of Fractions is 231021.Finally, LCM of Fractions for 63/59, 193/77, 399/314 is 231021.