Least Common Multiple of 410/36, 621/56, 741/58

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 410/36, 621/56, 741/58 quickly i.e. 31444335 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 410/36, 621/56, 741/58 is 31444335.

LCM(410/36, 621/56, 741/58) = 31444335

LCM of 410/36, 621/56, 741/58

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 410/36,621/56,741/58

Given numbers are 410/36,621/56,741/58

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 410,621,741

Least Common Multiple of Numerators i.e. LCM of 410,621,741 is 62888670.

GCF of Denominators means GCF of 36,56,58 as per the given fractions.

GCF of 36,56,58 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 410,621,741

LCM of Fractions 410/36,621/56,741/58 is 31444335

3 410, 621, 741
410, 207, 247

∴ So the LCM of the given numbers is 3 x 410 x 207 x 247 = 62888670

Least Common Multiple of 410,621,741 with GCF Formula

Least Common Multiple of 410,621,741 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 410,621,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(410,621,741) = 1

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

GCF(410,621,741) x common factors =1 x 3 = 3

LCM(410,621,741) = ( 410 × 621 × 741 ) / 3

LCM(410,621,741) = 188666010 / 3

LCM(410,621,741) = 62888670


Lets's calculate GCF of 36,56,58

2 36, 56, 58
18, 28, 29

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62888670/2

Therefore the LCM of Fractions 410/36,621/56,741/58 is 31444335

Greatest Common Factor of 36,56,58 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,56,58 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 58

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

1,2,29,58

Greatest Common Factor

We found the factors 36,56,58 . The biggest common factor number is the GCF number.
So the greatest common factor 36,56,58 is 2.


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 410/36, 621/56, 741/58

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 410/36, 621/56, 741/58?

Answer: LCM of Numerators as per given numbers 410/36, 621/56, 741/58 is

LCM of Numerators i.e. for 410,621,741 is 62888670

GCF of denominators i.e. for 36,56,58 is 2.

Thus, LCM of Fractions is 31444335.Finally, LCM of Fractions for 410/36, 621/56, 741/58 is 31444335.