Least Common Multiple of 6500/342, 3361/8870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6500/342, 3361/8870 quickly i.e. 10923250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6500/342, 3361/8870 is 10923250.

LCM(6500/342, 3361/8870) = 10923250

LCM of 6500/342, 3361/8870

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 6500/342,3361/8870

Given numbers are 6500/342,3361/8870

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 6500,3361

Least Common Multiple of Numerators i.e. LCM of 6500,3361 is 21846500.

GCF of Denominators means GCF of 342,8870 as per the given fractions.

GCF of 342,8870 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6500,3361

LCM of Fractions 6500/342,3361/8870 is 10923250

Given numbers has no common factors except 1. So, there LCM is their product i.e 21846500

Least Common Multiple of 6500,3361 with GCF Formula

Least Common Multiple of 6500,3361 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 6500,3361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6500,3361) = 1

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

GCF(6500,3361) x common factors =1 x 1 = 1

LCM(6500,3361) = ( 6500 × 3361 ) / 1

LCM(6500,3361) = 21846500 / 1

LCM(6500,3361) = 21846500


Lets's calculate GCF of 342,8870

2 342, 8870
171, 4435

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21846500/2

Therefore the LCM of Fractions 6500/342,3361/8870 is 10923250

Greatest Common Factor of 342,8870 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,8870 By Matching Biggest Common Factor Method

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 8870

List of positive integer factors of 8870 that divides 8870 without a remainder.

1,2,5,10,887,1774,4435,8870

Greatest Common Factor

We found the factors 342,8870 . The biggest common factor number is the GCF number.
So the greatest common factor 342,8870 is 2.


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 6500/342, 3361/8870

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 6500/342, 3361/8870?

Answer: LCM of Numerators as per given numbers 6500/342, 3361/8870 is

LCM of Numerators i.e. for 6500,3361 is 21846500

GCF of denominators i.e. for 342,8870 is 2.

Thus, LCM of Fractions is 10923250.Finally, LCM of Fractions for 6500/342, 3361/8870 is 10923250.