Least Common Multiple of 410/21, 821/29, 107/614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 410/21, 821/29, 107/614 quickly i.e. 36017270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 410/21, 821/29, 107/614 is 36017270.

LCM(410/21, 821/29, 107/614) = 36017270

LCM of 410/21, 821/29, 107/614

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 410/21,821/29,107/614

Given numbers are 410/21,821/29,107/614

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 410,821,107

Least Common Multiple of Numerators i.e. LCM of 410,821,107 is 36017270.

GCF of Denominators means GCF of 21,29,614 as per the given fractions.

GCF of 21,29,614 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 410,821,107

LCM of Fractions 410/21,821/29,107/614 is 36017270

Given numbers has no common factors except 1. So, there LCM is their product i.e 36017270

Least Common Multiple of 410,821,107 with GCF Formula

Least Common Multiple of 410,821,107 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 410,821,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(410,821,107) = 1

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

GCF(410,821,107) x common factors =1 x 1 = 1

LCM(410,821,107) = ( 410 × 821 × 107 ) / 1

LCM(410,821,107) = 36017270 / 1

LCM(410,821,107) = 36017270


Lets's calculate GCF of 21,29,614

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36017270/1

Therefore the LCM of Fractions 410/21,821/29,107/614 is 36017270

Greatest Common Factor of 21,29,614 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,29,614 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Greatest Common Factor

We found the factors 21,29,614 . The biggest common factor number is the GCF number.
So the greatest common factor 21,29,614 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 410/21, 821/29, 107/614

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 410/21, 821/29, 107/614?

Answer: LCM of Numerators as per given numbers 410/21, 821/29, 107/614 is

LCM of Numerators i.e. for 410,821,107 is 36017270

GCF of denominators i.e. for 21,29,614 is 1.

Thus, LCM of Fractions is 36017270.Finally, LCM of Fractions for 410/21, 821/29, 107/614 is 36017270.