Least Common Multiple of 161/721, 546/420, 406/789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 161/721, 546/420, 406/789 quickly i.e. 364182 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 161/721, 546/420, 406/789 is 364182.

LCM(161/721, 546/420, 406/789) = 364182

LCM of 161/721, 546/420, 406/789

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 161/721,546/420,406/789

Given numbers are 161/721,546/420,406/789

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 161,546,406

Least Common Multiple of Numerators i.e. LCM of 161,546,406 is 364182.

GCF of Denominators means GCF of 721,420,789 as per the given fractions.

GCF of 721,420,789 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 161,546,406

LCM of Fractions 161/721,546/420,406/789 is 364182

2 161, 546, 406
7 161, 273, 203
23, 39, 29

∴ So the LCM of the given numbers is 2 x 7 x 23 x 39 x 29 = 364182

Least Common Multiple of 161,546,406 with GCF Formula

Least Common Multiple of 161,546,406 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 161,546,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(161,546,406) = 7

common factors(in case of two or more numbers have common factors) = 14

GCF(161,546,406) x common factors =7 x 14 = 98

LCM(161,546,406) = ( 161 × 546 × 406 ) / 98

LCM(161,546,406) = 35689836 / 98

LCM(161,546,406) = 364182


Lets's calculate GCF of 721,420,789

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 364182/1

Therefore the LCM of Fractions 161/721,546/420,406/789 is 364182

Greatest Common Factor of 721,420,789 By Matching Biggest Common Factor Method

Greatest Common Factor of 721,420,789 By Matching Biggest Common Factor Method

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Greatest Common Factor

We found the factors 721,420,789 . The biggest common factor number is the GCF number.
So the greatest common factor 721,420,789 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 161/721, 546/420, 406/789

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 161/721, 546/420, 406/789?

Answer: LCM of Numerators as per given numbers 161/721, 546/420, 406/789 is

LCM of Numerators i.e. for 161,546,406 is 364182

GCF of denominators i.e. for 721,420,789 is 1.

Thus, LCM of Fractions is 364182.Finally, LCM of Fractions for 161/721, 546/420, 406/789 is 364182.