Least Common Multiple of 3871/378, 3964/1785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3871/378, 3964/1785 quickly i.e. 15344644/21 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3871/378, 3964/1785 is 15344644/21.

LCM(3871/378, 3964/1785) = 15344644/21

LCM of 3871/378, 3964/1785

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 3871/378,3964/1785

Given numbers are 3871/378,3964/1785

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 3871,3964

Least Common Multiple of Numerators i.e. LCM of 3871,3964 is 15344644.

GCF of Denominators means GCF of 378,1785 as per the given fractions.

GCF of 378,1785 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3871,3964

LCM of Fractions 3871/378,3964/1785 is 15344644/21

Given numbers has no common factors except 1. So, there LCM is their product i.e 15344644

Least Common Multiple of 3871,3964 with GCF Formula

Least Common Multiple of 3871,3964 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 3871,3964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3871,3964) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(3871,3964) x common factors =1 x 1 = 1

LCM(3871,3964) = ( 3871 × 3964 ) / 1

LCM(3871,3964) = 15344644 / 1

LCM(3871,3964) = 15344644


Lets's calculate GCF of 378,1785

3 378, 1785
7 126, 595
18, 85

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15344644/21

Therefore the LCM of Fractions 3871/378,3964/1785 is 15344644/21

Greatest Common Factor of 378,1785 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,1785 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 1785

List of positive integer factors of 1785 that divides 1785 without a remainder.

1,3,5,7,15,17,21,35,51,85,105,119,255,357,595,1785

Greatest Common Factor

We found the factors 378,1785 . The biggest common factor number is the GCF number.
So the greatest common factor 378,1785 is 21.


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 3871/378, 3964/1785

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 3871/378, 3964/1785?

Answer: LCM of Numerators as per given numbers 3871/378, 3964/1785 is

LCM of Numerators i.e. for 3871,3964 is 15344644

GCF of denominators i.e. for 378,1785 is 21.

Thus, LCM of Fractions is 15344644/21.Finally, LCM of Fractions for 3871/378, 3964/1785 is 15344644/21.