Least Common Multiple of 138/891, 712/376, 395/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 138/891, 712/376, 395/458 quickly i.e. 19405560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 138/891, 712/376, 395/458 is 19405560.

LCM(138/891, 712/376, 395/458) = 19405560

LCM of 138/891, 712/376, 395/458

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 138/891,712/376,395/458

Given numbers are 138/891,712/376,395/458

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 138,712,395

Least Common Multiple of Numerators i.e. LCM of 138,712,395 is 19405560.

GCF of Denominators means GCF of 891,376,458 as per the given fractions.

GCF of 891,376,458 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 138,712,395

LCM of Fractions 138/891,712/376,395/458 is 19405560

2 138, 712, 395
69, 356, 395

∴ So the LCM of the given numbers is 2 x 69 x 356 x 395 = 19405560

Least Common Multiple of 138,712,395 with GCF Formula

Least Common Multiple of 138,712,395 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 138,712,395 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(138,712,395) = 1

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

GCF(138,712,395) x common factors =1 x 2 = 2

LCM(138,712,395) = ( 138 × 712 × 395 ) / 2

LCM(138,712,395) = 38811120 / 2

LCM(138,712,395) = 19405560


Lets's calculate GCF of 891,376,458

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19405560/1

Therefore the LCM of Fractions 138/891,712/376,395/458 is 19405560

Greatest Common Factor of 891,376,458 By Matching Biggest Common Factor Method

Greatest Common Factor of 891,376,458 By Matching Biggest Common Factor Method

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Greatest Common Factor

We found the factors 891,376,458 . The biggest common factor number is the GCF number.
So the greatest common factor 891,376,458 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 138/891, 712/376, 395/458

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 138/891, 712/376, 395/458?

Answer: LCM of Numerators as per given numbers 138/891, 712/376, 395/458 is

LCM of Numerators i.e. for 138,712,395 is 19405560

GCF of denominators i.e. for 891,376,458 is 1.

Thus, LCM of Fractions is 19405560.Finally, LCM of Fractions for 138/891, 712/376, 395/458 is 19405560.