Least Common Multiple of 4206/102, 5970/7797

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4206/102, 5970/7797 quickly i.e. 1394990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4206/102, 5970/7797 is 1394990.

LCM(4206/102, 5970/7797) = 1394990

LCM of 4206/102, 5970/7797

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 4206/102,5970/7797

Given numbers are 4206/102,5970/7797

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 4206,5970

Least Common Multiple of Numerators i.e. LCM of 4206,5970 is 4184970.

GCF of Denominators means GCF of 102,7797 as per the given fractions.

GCF of 102,7797 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4206,5970

LCM of Fractions 4206/102,5970/7797 is 1394990

2 4206, 5970
3 2103, 2985
701, 995

∴ So the LCM of the given numbers is 2 x 3 x 701 x 995 = 4184970

Least Common Multiple of 4206,5970 with GCF Formula

Least Common Multiple of 4206,5970 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 4206,5970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4206,5970) = 6

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

GCF(4206,5970) x common factors =6 x 1 = 6

LCM(4206,5970) = ( 4206 × 5970 ) / 6

LCM(4206,5970) = 25109820 / 6

LCM(4206,5970) = 4184970


Lets's calculate GCF of 102,7797

3 102, 7797
34, 2599

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4184970/3

Therefore the LCM of Fractions 4206/102,5970/7797 is 1394990

Greatest Common Factor of 102,7797 By Matching Biggest Common Factor Method

Greatest Common Factor of 102,7797 By Matching Biggest Common Factor Method

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Factors of 7797

List of positive integer factors of 7797 that divides 7797 without a remainder.

1,3,23,69,113,339,2599,7797

Greatest Common Factor

We found the factors 102,7797 . The biggest common factor number is the GCF number.
So the greatest common factor 102,7797 is 3.


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 4206/102, 5970/7797

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 4206/102, 5970/7797?

Answer: LCM of Numerators as per given numbers 4206/102, 5970/7797 is

LCM of Numerators i.e. for 4206,5970 is 4184970

GCF of denominators i.e. for 102,7797 is 3.

Thus, LCM of Fractions is 1394990.Finally, LCM of Fractions for 4206/102, 5970/7797 is 1394990.