Least Common Multiple of 3918/870, 4183/6671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3918/870, 4183/6671 quickly i.e. 16388994 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3918/870, 4183/6671 is 16388994.

LCM(3918/870, 4183/6671) = 16388994

LCM of 3918/870, 4183/6671

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 3918/870,4183/6671

Given numbers are 3918/870,4183/6671

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 3918,4183

Least Common Multiple of Numerators i.e. LCM of 3918,4183 is 16388994.

GCF of Denominators means GCF of 870,6671 as per the given fractions.

GCF of 870,6671 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3918,4183

LCM of Fractions 3918/870,4183/6671 is 16388994

Given numbers has no common factors except 1. So, there LCM is their product i.e 16388994

Least Common Multiple of 3918,4183 with GCF Formula

Least Common Multiple of 3918,4183 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 3918,4183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3918,4183) = 1

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

GCF(3918,4183) x common factors =1 x 1 = 1

LCM(3918,4183) = ( 3918 × 4183 ) / 1

LCM(3918,4183) = 16388994 / 1

LCM(3918,4183) = 16388994


Lets's calculate GCF of 870,6671

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16388994/1

Therefore the LCM of Fractions 3918/870,4183/6671 is 16388994

Greatest Common Factor of 870,6671 By Matching Biggest Common Factor Method

Greatest Common Factor of 870,6671 By Matching Biggest Common Factor Method

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Factors of 6671

List of positive integer factors of 6671 that divides 6671 without a remainder.

1,7,953,6671

Greatest Common Factor

We found the factors 870,6671 . The biggest common factor number is the GCF number.
So the greatest common factor 870,6671 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3918/870, 4183/6671

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 3918/870, 4183/6671?

Answer: LCM of Numerators as per given numbers 3918/870, 4183/6671 is

LCM of Numerators i.e. for 3918,4183 is 16388994

GCF of denominators i.e. for 870,6671 is 1.

Thus, LCM of Fractions is 16388994.Finally, LCM of Fractions for 3918/870, 4183/6671 is 16388994.