Least Common Multiple of 705/410, 514/446, 149/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 705/410, 514/446, 149/580 quickly i.e. 26996565 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 705/410, 514/446, 149/580 is 26996565.

LCM(705/410, 514/446, 149/580) = 26996565

LCM of 705/410, 514/446, 149/580

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 705/410,514/446,149/580

Given numbers are 705/410,514/446,149/580

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 705,514,149

Least Common Multiple of Numerators i.e. LCM of 705,514,149 is 53993130.

GCF of Denominators means GCF of 410,446,580 as per the given fractions.

GCF of 410,446,580 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 705,514,149

LCM of Fractions 705/410,514/446,149/580 is 26996565

Given numbers has no common factors except 1. So, there LCM is their product i.e 53993130

Least Common Multiple of 705,514,149 with GCF Formula

Least Common Multiple of 705,514,149 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 705,514,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,514,149) = 1

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

GCF(705,514,149) x common factors =1 x 1 = 1

LCM(705,514,149) = ( 705 × 514 × 149 ) / 1

LCM(705,514,149) = 53993130 / 1

LCM(705,514,149) = 53993130


Lets's calculate GCF of 410,446,580

2 410, 446, 580
205, 223, 290

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53993130/2

Therefore the LCM of Fractions 705/410,514/446,149/580 is 26996565

Greatest Common Factor of 410,446,580 By Matching Biggest Common Factor Method

Greatest Common Factor of 410,446,580 By Matching Biggest Common Factor Method

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

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

Greatest Common Factor

We found the factors 410,446,580 . The biggest common factor number is the GCF number.
So the greatest common factor 410,446,580 is 2.


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 705/410, 514/446, 149/580

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 705/410, 514/446, 149/580?

Answer: LCM of Numerators as per given numbers 705/410, 514/446, 149/580 is

LCM of Numerators i.e. for 705,514,149 is 53993130

GCF of denominators i.e. for 410,446,580 is 2.

Thus, LCM of Fractions is 26996565.Finally, LCM of Fractions for 705/410, 514/446, 149/580 is 26996565.