Least Common Multiple of 768/142, 388/139, 367/377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 768/142, 388/139, 367/377 quickly i.e. 27340032 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 768/142, 388/139, 367/377 is 27340032.

LCM(768/142, 388/139, 367/377) = 27340032

LCM of 768/142, 388/139, 367/377

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 768/142,388/139,367/377

Given numbers are 768/142,388/139,367/377

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 768,388,367

Least Common Multiple of Numerators i.e. LCM of 768,388,367 is 27340032.

GCF of Denominators means GCF of 142,139,377 as per the given fractions.

GCF of 142,139,377 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 768,388,367

LCM of Fractions 768/142,388/139,367/377 is 27340032

2 768, 388, 367
2 384, 194, 367
192, 97, 367

∴ So the LCM of the given numbers is 2 x 2 x 192 x 97 x 367 = 27340032

Least Common Multiple of 768,388,367 with GCF Formula

Least Common Multiple of 768,388,367 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 768,388,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,388,367) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(768,388,367) x common factors =1 x 4 = 4

LCM(768,388,367) = ( 768 × 388 × 367 ) / 4

LCM(768,388,367) = 109360128 / 4

LCM(768,388,367) = 27340032


Lets's calculate GCF of 142,139,377

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27340032/1

Therefore the LCM of Fractions 768/142,388/139,367/377 is 27340032

Greatest Common Factor of 142,139,377 By Matching Biggest Common Factor Method

Greatest Common Factor of 142,139,377 By Matching Biggest Common Factor Method

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 139

List of positive integer factors of 139 that divides 139 without a remainder.

1,139

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Greatest Common Factor

We found the factors 142,139,377 . The biggest common factor number is the GCF number.
So the greatest common factor 142,139,377 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 768/142, 388/139, 367/377

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 768/142, 388/139, 367/377?

Answer: LCM of Numerators as per given numbers 768/142, 388/139, 367/377 is

LCM of Numerators i.e. for 768,388,367 is 27340032

GCF of denominators i.e. for 142,139,377 is 1.

Thus, LCM of Fractions is 27340032.Finally, LCM of Fractions for 768/142, 388/139, 367/377 is 27340032.