Least Common Multiple of 9200/807, 8942/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9200/807, 8942/197 quickly i.e. 41133200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9200/807, 8942/197 is 41133200.

LCM(9200/807, 8942/197) = 41133200

LCM of 9200/807, 8942/197

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 9200/807,8942/197

Given numbers are 9200/807,8942/197

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 9200,8942

Least Common Multiple of Numerators i.e. LCM of 9200,8942 is 41133200.

GCF of Denominators means GCF of 807,197 as per the given fractions.

GCF of 807,197 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9200,8942

LCM of Fractions 9200/807,8942/197 is 41133200

2 9200, 8942
4600, 4471

∴ So the LCM of the given numbers is 2 x 4600 x 4471 = 41133200

Least Common Multiple of 9200,8942 with GCF Formula

Least Common Multiple of 9200,8942 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 9200,8942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9200,8942) = 2

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

GCF(9200,8942) x common factors =2 x 1 = 2

LCM(9200,8942) = ( 9200 × 8942 ) / 2

LCM(9200,8942) = 82266400 / 2

LCM(9200,8942) = 41133200


Lets's calculate GCF of 807,197

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41133200/1

Therefore the LCM of Fractions 9200/807,8942/197 is 41133200

Greatest Common Factor of 807,197 By Matching Biggest Common Factor Method

Greatest Common Factor of 807,197 By Matching Biggest Common Factor Method

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

Greatest Common Factor

We found the factors 807,197 . The biggest common factor number is the GCF number.
So the greatest common factor 807,197 is 1.


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 9200/807, 8942/197

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 9200/807, 8942/197?

Answer: LCM of Numerators as per given numbers 9200/807, 8942/197 is

LCM of Numerators i.e. for 9200,8942 is 41133200

GCF of denominators i.e. for 807,197 is 1.

Thus, LCM of Fractions is 41133200.Finally, LCM of Fractions for 9200/807, 8942/197 is 41133200.