Least Common Multiple of 30/386, 59/781, 252/963

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/386, 59/781, 252/963 quickly i.e. 74340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/386, 59/781, 252/963 is 74340.

LCM(30/386, 59/781, 252/963) = 74340

LCM of 30/386, 59/781, 252/963

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 30/386,59/781,252/963

Given numbers are 30/386,59/781,252/963

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 30,59,252

Least Common Multiple of Numerators i.e. LCM of 30,59,252 is 74340.

GCF of Denominators means GCF of 386,781,963 as per the given fractions.

GCF of 386,781,963 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,59,252

LCM of Fractions 30/386,59/781,252/963 is 74340

2 30, 59, 252
3 15, 59, 126
5, 59, 42

∴ So the LCM of the given numbers is 2 x 3 x 5 x 59 x 42 = 74340

Least Common Multiple of 30,59,252 with GCF Formula

Least Common Multiple of 30,59,252 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 30,59,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,59,252) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(30,59,252) x common factors =1 x 6 = 6

LCM(30,59,252) = ( 30 × 59 × 252 ) / 6

LCM(30,59,252) = 446040 / 6

LCM(30,59,252) = 74340


Lets's calculate GCF of 386,781,963

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74340/1

Therefore the LCM of Fractions 30/386,59/781,252/963 is 74340

Greatest Common Factor of 386,781,963 By Matching Biggest Common Factor Method

Greatest Common Factor of 386,781,963 By Matching Biggest Common Factor Method

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Greatest Common Factor

We found the factors 386,781,963 . The biggest common factor number is the GCF number.
So the greatest common factor 386,781,963 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 30/386, 59/781, 252/963

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 30/386, 59/781, 252/963?

Answer: LCM of Numerators as per given numbers 30/386, 59/781, 252/963 is

LCM of Numerators i.e. for 30,59,252 is 74340

GCF of denominators i.e. for 386,781,963 is 1.

Thus, LCM of Fractions is 74340.Finally, LCM of Fractions for 30/386, 59/781, 252/963 is 74340.