Least Common Multiple of 387/70, 376/50, 893/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 387/70, 376/50, 893/365 quickly i.e. 2764728/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 387/70, 376/50, 893/365 is 2764728/5.

LCM(387/70, 376/50, 893/365) = 2764728/5

LCM of 387/70, 376/50, 893/365

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 387/70,376/50,893/365

Given numbers are 387/70,376/50,893/365

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 387,376,893

Least Common Multiple of Numerators i.e. LCM of 387,376,893 is 2764728.

GCF of Denominators means GCF of 70,50,365 as per the given fractions.

GCF of 70,50,365 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 387,376,893

LCM of Fractions 387/70,376/50,893/365 is 2764728/5

47 387, 376, 893
387, 8, 19

∴ So the LCM of the given numbers is 47 x 387 x 8 x 19 = 2764728

Least Common Multiple of 387,376,893 with GCF Formula

Least Common Multiple of 387,376,893 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 387,376,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(387,376,893) = 1

common factors(in case of two or more numbers have common factors) = 47

GCF(387,376,893) x common factors =1 x 47 = 47

LCM(387,376,893) = ( 387 × 376 × 893 ) / 47

LCM(387,376,893) = 129942216 / 47

LCM(387,376,893) = 2764728


Lets's calculate GCF of 70,50,365

5 70, 50, 365
14, 10, 73

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2764728/5

Therefore the LCM of Fractions 387/70,376/50,893/365 is 2764728/5

Greatest Common Factor of 70,50,365 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,50,365 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Greatest Common Factor

We found the factors 70,50,365 . The biggest common factor number is the GCF number.
So the greatest common factor 70,50,365 is 5.


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 387/70, 376/50, 893/365

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 387/70, 376/50, 893/365?

Answer: LCM of Numerators as per given numbers 387/70, 376/50, 893/365 is

LCM of Numerators i.e. for 387,376,893 is 2764728

GCF of denominators i.e. for 70,50,365 is 5.

Thus, LCM of Fractions is 2764728/5.Finally, LCM of Fractions for 387/70, 376/50, 893/365 is 2764728/5.