Least Common Multiple of 407/58, 133/72, 975/599

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 407/58, 133/72, 975/599 quickly i.e. 52777725 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 407/58, 133/72, 975/599 is 52777725.

LCM(407/58, 133/72, 975/599) = 52777725

LCM of 407/58, 133/72, 975/599

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 407/58,133/72,975/599

Given numbers are 407/58,133/72,975/599

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 407,133,975

Least Common Multiple of Numerators i.e. LCM of 407,133,975 is 52777725.

GCF of Denominators means GCF of 58,72,599 as per the given fractions.

GCF of 58,72,599 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 407,133,975

LCM of Fractions 407/58,133/72,975/599 is 52777725

Given numbers has no common factors except 1. So, there LCM is their product i.e 52777725

Least Common Multiple of 407,133,975 with GCF Formula

Least Common Multiple of 407,133,975 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 407,133,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(407,133,975) = 1

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

GCF(407,133,975) x common factors =1 x 1 = 1

LCM(407,133,975) = ( 407 × 133 × 975 ) / 1

LCM(407,133,975) = 52777725 / 1

LCM(407,133,975) = 52777725


Lets's calculate GCF of 58,72,599

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52777725/1

Therefore the LCM of Fractions 407/58,133/72,975/599 is 52777725

Greatest Common Factor of 58,72,599 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,72,599 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

Greatest Common Factor

We found the factors 58,72,599 . The biggest common factor number is the GCF number.
So the greatest common factor 58,72,599 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 407/58, 133/72, 975/599

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 407/58, 133/72, 975/599?

Answer: LCM of Numerators as per given numbers 407/58, 133/72, 975/599 is

LCM of Numerators i.e. for 407,133,975 is 52777725

GCF of denominators i.e. for 58,72,599 is 1.

Thus, LCM of Fractions is 52777725.Finally, LCM of Fractions for 407/58, 133/72, 975/599 is 52777725.