Least Common Multiple of 71/104, 75/937, 200/161

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/104, 75/937, 200/161 quickly i.e. 42600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/104, 75/937, 200/161 is 42600.

LCM(71/104, 75/937, 200/161) = 42600

LCM of 71/104, 75/937, 200/161

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 71/104,75/937,200/161

Given numbers are 71/104,75/937,200/161

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 71,75,200

Least Common Multiple of Numerators i.e. LCM of 71,75,200 is 42600.

GCF of Denominators means GCF of 104,937,161 as per the given fractions.

GCF of 104,937,161 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,75,200

LCM of Fractions 71/104,75/937,200/161 is 42600

5 71, 75, 200
5 71, 15, 40
71, 3, 8

∴ So the LCM of the given numbers is 5 x 5 x 71 x 3 x 8 = 42600

Least Common Multiple of 71,75,200 with GCF Formula

Least Common Multiple of 71,75,200 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 71,75,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,75,200) = 1

common factors(in case of two or more numbers have common factors) = 25

GCF(71,75,200) x common factors =1 x 25 = 25

LCM(71,75,200) = ( 71 × 75 × 200 ) / 25

LCM(71,75,200) = 1065000 / 25

LCM(71,75,200) = 42600


Lets's calculate GCF of 104,937,161

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42600/1

Therefore the LCM of Fractions 71/104,75/937,200/161 is 42600

Greatest Common Factor of 104,937,161 By Matching Biggest Common Factor Method

Greatest Common Factor of 104,937,161 By Matching Biggest Common Factor Method

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Factors of 937

List of positive integer factors of 937 that divides 937 without a remainder.

1,937

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1,7,23,161

Greatest Common Factor

We found the factors 104,937,161 . The biggest common factor number is the GCF number.
So the greatest common factor 104,937,161 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 71/104, 75/937, 200/161

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 71/104, 75/937, 200/161?

Answer: LCM of Numerators as per given numbers 71/104, 75/937, 200/161 is

LCM of Numerators i.e. for 71,75,200 is 42600

GCF of denominators i.e. for 104,937,161 is 1.

Thus, LCM of Fractions is 42600.Finally, LCM of Fractions for 71/104, 75/937, 200/161 is 42600.