Least Common Multiple of 3867/979, 1879/1810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3867/979, 1879/1810 quickly i.e. 7266093 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3867/979, 1879/1810 is 7266093.

LCM(3867/979, 1879/1810) = 7266093

LCM of 3867/979, 1879/1810

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 3867/979,1879/1810

Given numbers are 3867/979,1879/1810

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 3867,1879

Least Common Multiple of Numerators i.e. LCM of 3867,1879 is 7266093.

GCF of Denominators means GCF of 979,1810 as per the given fractions.

GCF of 979,1810 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3867,1879

LCM of Fractions 3867/979,1879/1810 is 7266093

Given numbers has no common factors except 1. So, there LCM is their product i.e 7266093

Least Common Multiple of 3867,1879 with GCF Formula

Least Common Multiple of 3867,1879 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 3867,1879 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3867,1879) = 1

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

GCF(3867,1879) x common factors =1 x 1 = 1

LCM(3867,1879) = ( 3867 × 1879 ) / 1

LCM(3867,1879) = 7266093 / 1

LCM(3867,1879) = 7266093


Lets's calculate GCF of 979,1810

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7266093/1

Therefore the LCM of Fractions 3867/979,1879/1810 is 7266093

Greatest Common Factor of 979,1810 By Matching Biggest Common Factor Method

Greatest Common Factor of 979,1810 By Matching Biggest Common Factor Method

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Factors of 1810

List of positive integer factors of 1810 that divides 1810 without a remainder.

1,2,5,10,181,362,905,1810

Greatest Common Factor

We found the factors 979,1810 . The biggest common factor number is the GCF number.
So the greatest common factor 979,1810 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 3867/979, 1879/1810

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 3867/979, 1879/1810?

Answer: LCM of Numerators as per given numbers 3867/979, 1879/1810 is

LCM of Numerators i.e. for 3867,1879 is 7266093

GCF of denominators i.e. for 979,1810 is 1.

Thus, LCM of Fractions is 7266093.Finally, LCM of Fractions for 3867/979, 1879/1810 is 7266093.