Least Common Multiple of 77/381, 19/440, 380/739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/381, 19/440, 380/739 quickly i.e. 29260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/381, 19/440, 380/739 is 29260.

LCM(77/381, 19/440, 380/739) = 29260

LCM of 77/381, 19/440, 380/739

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 77/381,19/440,380/739

Given numbers are 77/381,19/440,380/739

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 77,19,380

Least Common Multiple of Numerators i.e. LCM of 77,19,380 is 29260.

GCF of Denominators means GCF of 381,440,739 as per the given fractions.

GCF of 381,440,739 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,19,380

LCM of Fractions 77/381,19/440,380/739 is 29260

19 77, 19, 380
77, 1, 20

∴ So the LCM of the given numbers is 19 x 77 x 1 x 20 = 29260

Least Common Multiple of 77,19,380 with GCF Formula

Least Common Multiple of 77,19,380 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 77,19,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,19,380) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(77,19,380) x common factors =1 x 19 = 19

LCM(77,19,380) = ( 77 × 19 × 380 ) / 19

LCM(77,19,380) = 555940 / 19

LCM(77,19,380) = 29260


Lets's calculate GCF of 381,440,739

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29260/1

Therefore the LCM of Fractions 77/381,19/440,380/739 is 29260

Greatest Common Factor of 381,440,739 By Matching Biggest Common Factor Method

Greatest Common Factor of 381,440,739 By Matching Biggest Common Factor Method

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1,739

Greatest Common Factor

We found the factors 381,440,739 . The biggest common factor number is the GCF number.
So the greatest common factor 381,440,739 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 77/381, 19/440, 380/739

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 77/381, 19/440, 380/739?

Answer: LCM of Numerators as per given numbers 77/381, 19/440, 380/739 is

LCM of Numerators i.e. for 77,19,380 is 29260

GCF of denominators i.e. for 381,440,739 is 1.

Thus, LCM of Fractions is 29260.Finally, LCM of Fractions for 77/381, 19/440, 380/739 is 29260.