Least Common Multiple of 3667/973, 3133/1862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3667/973, 3133/1862 quickly i.e. 11488711/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3667/973, 3133/1862 is 11488711/7.

LCM(3667/973, 3133/1862) = 11488711/7

LCM of 3667/973, 3133/1862

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 3667/973,3133/1862

Given numbers are 3667/973,3133/1862

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 3667,3133

Least Common Multiple of Numerators i.e. LCM of 3667,3133 is 11488711.

GCF of Denominators means GCF of 973,1862 as per the given fractions.

GCF of 973,1862 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3667,3133

LCM of Fractions 3667/973,3133/1862 is 11488711/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 11488711

Least Common Multiple of 3667,3133 with GCF Formula

Least Common Multiple of 3667,3133 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 3667,3133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3667,3133) = 1

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

GCF(3667,3133) x common factors =1 x 1 = 1

LCM(3667,3133) = ( 3667 × 3133 ) / 1

LCM(3667,3133) = 11488711 / 1

LCM(3667,3133) = 11488711


Lets's calculate GCF of 973,1862

7 973, 1862
139, 266

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11488711/7

Therefore the LCM of Fractions 3667/973,3133/1862 is 11488711/7

Greatest Common Factor of 973,1862 By Matching Biggest Common Factor Method

Greatest Common Factor of 973,1862 By Matching Biggest Common Factor Method

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Factors of 1862

List of positive integer factors of 1862 that divides 1862 without a remainder.

1,2,7,14,19,38,49,98,133,266,931,1862

Greatest Common Factor

We found the factors 973,1862 . The biggest common factor number is the GCF number.
So the greatest common factor 973,1862 is 7.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 3667/973, 3133/1862

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 3667/973, 3133/1862?

Answer: LCM of Numerators as per given numbers 3667/973, 3133/1862 is

LCM of Numerators i.e. for 3667,3133 is 11488711

GCF of denominators i.e. for 973,1862 is 7.

Thus, LCM of Fractions is 11488711/7.Finally, LCM of Fractions for 3667/973, 3133/1862 is 11488711/7.