Least Common Multiple of 62/901, 58/580, 171/451

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/901, 58/580, 171/451 quickly i.e. 307458 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/901, 58/580, 171/451 is 307458.

LCM(62/901, 58/580, 171/451) = 307458

LCM of 62/901, 58/580, 171/451

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 62/901,58/580,171/451

Given numbers are 62/901,58/580,171/451

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 62,58,171

Least Common Multiple of Numerators i.e. LCM of 62,58,171 is 307458.

GCF of Denominators means GCF of 901,580,451 as per the given fractions.

GCF of 901,580,451 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,58,171

LCM of Fractions 62/901,58/580,171/451 is 307458

2 62, 58, 171
31, 29, 171

∴ So the LCM of the given numbers is 2 x 31 x 29 x 171 = 307458

Least Common Multiple of 62,58,171 with GCF Formula

Least Common Multiple of 62,58,171 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 62,58,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,58,171) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(62,58,171) x common factors =1 x 2 = 2

LCM(62,58,171) = ( 62 × 58 × 171 ) / 2

LCM(62,58,171) = 614916 / 2

LCM(62,58,171) = 307458


Lets's calculate GCF of 901,580,451

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 307458/1

Therefore the LCM of Fractions 62/901,58/580,171/451 is 307458

Greatest Common Factor of 901,580,451 By Matching Biggest Common Factor Method

Greatest Common Factor of 901,580,451 By Matching Biggest Common Factor Method

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

Greatest Common Factor

We found the factors 901,580,451 . The biggest common factor number is the GCF number.
So the greatest common factor 901,580,451 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 62/901, 58/580, 171/451

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 62/901, 58/580, 171/451?

Answer: LCM of Numerators as per given numbers 62/901, 58/580, 171/451 is

LCM of Numerators i.e. for 62,58,171 is 307458

GCF of denominators i.e. for 901,580,451 is 1.

Thus, LCM of Fractions is 307458.Finally, LCM of Fractions for 62/901, 58/580, 171/451 is 307458.