Least Common Multiple of 6/201, 91/414, 75/907

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/201, 91/414, 75/907 quickly i.e. 13650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/201, 91/414, 75/907 is 13650.

LCM(6/201, 91/414, 75/907) = 13650

LCM of 6/201, 91/414, 75/907

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 6/201,91/414,75/907

Given numbers are 6/201,91/414,75/907

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 6,91,75

Least Common Multiple of Numerators i.e. LCM of 6,91,75 is 13650.

GCF of Denominators means GCF of 201,414,907 as per the given fractions.

GCF of 201,414,907 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,91,75

LCM of Fractions 6/201,91/414,75/907 is 13650

3 6, 91, 75
2, 91, 25

∴ So the LCM of the given numbers is 3 x 2 x 91 x 25 = 13650

Least Common Multiple of 6,91,75 with GCF Formula

Least Common Multiple of 6,91,75 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 6,91,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,91,75) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(6,91,75) x common factors =1 x 3 = 3

LCM(6,91,75) = ( 6 × 91 × 75 ) / 3

LCM(6,91,75) = 40950 / 3

LCM(6,91,75) = 13650


Lets's calculate GCF of 201,414,907

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13650/1

Therefore the LCM of Fractions 6/201,91/414,75/907 is 13650

Greatest Common Factor of 201,414,907 By Matching Biggest Common Factor Method

Greatest Common Factor of 201,414,907 By Matching Biggest Common Factor Method

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 907

List of positive integer factors of 907 that divides 907 without a remainder.

1,907

Greatest Common Factor

We found the factors 201,414,907 . The biggest common factor number is the GCF number.
So the greatest common factor 201,414,907 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 6/201, 91/414, 75/907

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 6/201, 91/414, 75/907?

Answer: LCM of Numerators as per given numbers 6/201, 91/414, 75/907 is

LCM of Numerators i.e. for 6,91,75 is 13650

GCF of denominators i.e. for 201,414,907 is 1.

Thus, LCM of Fractions is 13650.Finally, LCM of Fractions for 6/201, 91/414, 75/907 is 13650.