Least Common Multiple of 462/78, 275/38, 706/790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 462/78, 275/38, 706/790 quickly i.e. 2038575 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 462/78, 275/38, 706/790 is 2038575.

LCM(462/78, 275/38, 706/790) = 2038575

LCM of 462/78, 275/38, 706/790

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 462/78,275/38,706/790

Given numbers are 462/78,275/38,706/790

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 462,275,706

Least Common Multiple of Numerators i.e. LCM of 462,275,706 is 4077150.

GCF of Denominators means GCF of 78,38,790 as per the given fractions.

GCF of 78,38,790 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 462,275,706

LCM of Fractions 462/78,275/38,706/790 is 2038575

2 462, 275, 706
11 231, 275, 353
21, 25, 353

∴ So the LCM of the given numbers is 2 x 11 x 21 x 25 x 353 = 4077150

Least Common Multiple of 462,275,706 with GCF Formula

Least Common Multiple of 462,275,706 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 462,275,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,275,706) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(462,275,706) x common factors =1 x 22 = 22

LCM(462,275,706) = ( 462 × 275 × 706 ) / 22

LCM(462,275,706) = 89697300 / 22

LCM(462,275,706) = 4077150


Lets's calculate GCF of 78,38,790

2 78, 38, 790
39, 19, 395

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4077150/2

Therefore the LCM of Fractions 462/78,275/38,706/790 is 2038575

Greatest Common Factor of 78,38,790 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,38,790 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 38

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

1,2,19,38

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Greatest Common Factor

We found the factors 78,38,790 . The biggest common factor number is the GCF number.
So the greatest common factor 78,38,790 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 462/78, 275/38, 706/790

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 462/78, 275/38, 706/790?

Answer: LCM of Numerators as per given numbers 462/78, 275/38, 706/790 is

LCM of Numerators i.e. for 462,275,706 is 4077150

GCF of denominators i.e. for 78,38,790 is 2.

Thus, LCM of Fractions is 2038575.Finally, LCM of Fractions for 462/78, 275/38, 706/790 is 2038575.