Least Common Multiple of 606/96, 390/69, 938/764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 606/96, 390/69, 938/764 quickly i.e. 18473910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 606/96, 390/69, 938/764 is 18473910.

LCM(606/96, 390/69, 938/764) = 18473910

LCM of 606/96, 390/69, 938/764

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 606/96,390/69,938/764

Given numbers are 606/96,390/69,938/764

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 606,390,938

Least Common Multiple of Numerators i.e. LCM of 606,390,938 is 18473910.

GCF of Denominators means GCF of 96,69,764 as per the given fractions.

GCF of 96,69,764 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 606,390,938

LCM of Fractions 606/96,390/69,938/764 is 18473910

2 606, 390, 938
3 303, 195, 469
101, 65, 469

∴ So the LCM of the given numbers is 2 x 3 x 101 x 65 x 469 = 18473910

Least Common Multiple of 606,390,938 with GCF Formula

Least Common Multiple of 606,390,938 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 606,390,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(606,390,938) = 2

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

GCF(606,390,938) x common factors =2 x 6 = 12

LCM(606,390,938) = ( 606 × 390 × 938 ) / 12

LCM(606,390,938) = 221686920 / 12

LCM(606,390,938) = 18473910


Lets's calculate GCF of 96,69,764

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18473910/1

Therefore the LCM of Fractions 606/96,390/69,938/764 is 18473910

Greatest Common Factor of 96,69,764 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,69,764 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Greatest Common Factor

We found the factors 96,69,764 . The biggest common factor number is the GCF number.
So the greatest common factor 96,69,764 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 606/96, 390/69, 938/764

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 606/96, 390/69, 938/764?

Answer: LCM of Numerators as per given numbers 606/96, 390/69, 938/764 is

LCM of Numerators i.e. for 606,390,938 is 18473910

GCF of denominators i.e. for 96,69,764 is 1.

Thus, LCM of Fractions is 18473910.Finally, LCM of Fractions for 606/96, 390/69, 938/764 is 18473910.