Least Common Multiple of 60/612, 62/395, 541/671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/612, 62/395, 541/671 quickly i.e. 1006260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/612, 62/395, 541/671 is 1006260.

LCM(60/612, 62/395, 541/671) = 1006260

LCM of 60/612, 62/395, 541/671

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 60/612,62/395,541/671

Given numbers are 60/612,62/395,541/671

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 60,62,541

Least Common Multiple of Numerators i.e. LCM of 60,62,541 is 1006260.

GCF of Denominators means GCF of 612,395,671 as per the given fractions.

GCF of 612,395,671 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,62,541

LCM of Fractions 60/612,62/395,541/671 is 1006260

2 60, 62, 541
30, 31, 541

∴ So the LCM of the given numbers is 2 x 30 x 31 x 541 = 1006260

Least Common Multiple of 60,62,541 with GCF Formula

Least Common Multiple of 60,62,541 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 60,62,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,62,541) = 1

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

GCF(60,62,541) x common factors =1 x 2 = 2

LCM(60,62,541) = ( 60 × 62 × 541 ) / 2

LCM(60,62,541) = 2012520 / 2

LCM(60,62,541) = 1006260


Lets's calculate GCF of 612,395,671

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1006260/1

Therefore the LCM of Fractions 60/612,62/395,541/671 is 1006260

Greatest Common Factor of 612,395,671 By Matching Biggest Common Factor Method

Greatest Common Factor of 612,395,671 By Matching Biggest Common Factor Method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1,11,61,671

Greatest Common Factor

We found the factors 612,395,671 . The biggest common factor number is the GCF number.
So the greatest common factor 612,395,671 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 60/612, 62/395, 541/671

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 60/612, 62/395, 541/671?

Answer: LCM of Numerators as per given numbers 60/612, 62/395, 541/671 is

LCM of Numerators i.e. for 60,62,541 is 1006260

GCF of denominators i.e. for 612,395,671 is 1.

Thus, LCM of Fractions is 1006260.Finally, LCM of Fractions for 60/612, 62/395, 541/671 is 1006260.