Least Common Multiple of 938/38, 766/72, 962/706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 938/38, 766/72, 962/706 quickly i.e. 86400587 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 938/38, 766/72, 962/706 is 86400587.

LCM(938/38, 766/72, 962/706) = 86400587

LCM of 938/38, 766/72, 962/706

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 938/38,766/72,962/706

Given numbers are 938/38,766/72,962/706

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 938,766,962

Least Common Multiple of Numerators i.e. LCM of 938,766,962 is 172801174.

GCF of Denominators means GCF of 38,72,706 as per the given fractions.

GCF of 38,72,706 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 938,766,962

LCM of Fractions 938/38,766/72,962/706 is 86400587

2 938, 766, 962
469, 383, 481

∴ So the LCM of the given numbers is 2 x 469 x 383 x 481 = 172801174

Least Common Multiple of 938,766,962 with GCF Formula

Least Common Multiple of 938,766,962 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 938,766,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,766,962) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(938,766,962) x common factors =2 x 2 = 4

LCM(938,766,962) = ( 938 × 766 × 962 ) / 4

LCM(938,766,962) = 691204696 / 4

LCM(938,766,962) = 172801174


Lets's calculate GCF of 38,72,706

2 38, 72, 706
19, 36, 353

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 172801174/2

Therefore the LCM of Fractions 938/38,766/72,962/706 is 86400587

Greatest Common Factor of 38,72,706 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,72,706 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Greatest Common Factor

We found the factors 38,72,706 . The biggest common factor number is the GCF number.
So the greatest common factor 38,72,706 is 2.


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 938/38, 766/72, 962/706

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 938/38, 766/72, 962/706?

Answer: LCM of Numerators as per given numbers 938/38, 766/72, 962/706 is

LCM of Numerators i.e. for 938,766,962 is 172801174

GCF of denominators i.e. for 38,72,706 is 2.

Thus, LCM of Fractions is 86400587.Finally, LCM of Fractions for 938/38, 766/72, 962/706 is 86400587.