Least Common Multiple of 49/609, 71/407, 863/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/609, 71/407, 863/149 quickly i.e. 3002377 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/609, 71/407, 863/149 is 3002377.

LCM(49/609, 71/407, 863/149) = 3002377

LCM of 49/609, 71/407, 863/149

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 49/609,71/407,863/149

Given numbers are 49/609,71/407,863/149

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 49,71,863

Least Common Multiple of Numerators i.e. LCM of 49,71,863 is 3002377.

GCF of Denominators means GCF of 609,407,149 as per the given fractions.

GCF of 609,407,149 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,71,863

LCM of Fractions 49/609,71/407,863/149 is 3002377

Given numbers has no common factors except 1. So, there LCM is their product i.e 3002377

Least Common Multiple of 49,71,863 with GCF Formula

Least Common Multiple of 49,71,863 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 49,71,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,71,863) = 1

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

GCF(49,71,863) x common factors =1 x 1 = 1

LCM(49,71,863) = ( 49 × 71 × 863 ) / 1

LCM(49,71,863) = 3002377 / 1

LCM(49,71,863) = 3002377


Lets's calculate GCF of 609,407,149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3002377/1

Therefore the LCM of Fractions 49/609,71/407,863/149 is 3002377

Greatest Common Factor of 609,407,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 609,407,149 By Matching Biggest Common Factor Method

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 609,407,149 . The biggest common factor number is the GCF number.
So the greatest common factor 609,407,149 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 49/609, 71/407, 863/149

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 49/609, 71/407, 863/149?

Answer: LCM of Numerators as per given numbers 49/609, 71/407, 863/149 is

LCM of Numerators i.e. for 49,71,863 is 3002377

GCF of denominators i.e. for 609,407,149 is 1.

Thus, LCM of Fractions is 3002377.Finally, LCM of Fractions for 49/609, 71/407, 863/149 is 3002377.