Least Common Multiple of 2197/200, 7085/6525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2197/200, 7085/6525 quickly i.e. 1197365/25 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2197/200, 7085/6525 is 1197365/25.

LCM(2197/200, 7085/6525) = 1197365/25

LCM of 2197/200, 7085/6525

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 2197/200,7085/6525

Given numbers are 2197/200,7085/6525

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 2197,7085

Least Common Multiple of Numerators i.e. LCM of 2197,7085 is 1197365.

GCF of Denominators means GCF of 200,6525 as per the given fractions.

GCF of 200,6525 is 25 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2197,7085

LCM of Fractions 2197/200,7085/6525 is 1197365/25

13 2197, 7085
169, 545

∴ So the LCM of the given numbers is 13 x 169 x 545 = 1197365

Least Common Multiple of 2197,7085 with GCF Formula

Least Common Multiple of 2197,7085 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 2197,7085 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2197,7085) = 13

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

GCF(2197,7085) x common factors =13 x 1 = 13

LCM(2197,7085) = ( 2197 × 7085 ) / 13

LCM(2197,7085) = 15565745 / 13

LCM(2197,7085) = 1197365


Lets's calculate GCF of 200,6525

5 200, 6525
5 40, 1305
8, 261

∴ So the GCF of the given numbers is 5 x 5 = 25

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1197365/25

Therefore the LCM of Fractions 2197/200,7085/6525 is 1197365/25

Greatest Common Factor of 200,6525 By Matching Biggest Common Factor Method

Greatest Common Factor of 200,6525 By Matching Biggest Common Factor Method

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 6525

List of positive integer factors of 6525 that divides 6525 without a remainder.

1,3,5,9,15,25,29,45,75,87,145,225,261,435,725,1305,2175,6525

Greatest Common Factor

We found the factors 200,6525 . The biggest common factor number is the GCF number.
So the greatest common factor 200,6525 is 25.


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 2197/200, 7085/6525

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 2197/200, 7085/6525?

Answer: LCM of Numerators as per given numbers 2197/200, 7085/6525 is

LCM of Numerators i.e. for 2197,7085 is 1197365

GCF of denominators i.e. for 200,6525 is 25.

Thus, LCM of Fractions is 1197365/25.Finally, LCM of Fractions for 2197/200, 7085/6525 is 1197365/25.