Least Common Multiple of 949/20, 493/25, 727/606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 949/20, 493/25, 727/606 quickly i.e. 340132039 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 949/20, 493/25, 727/606 is 340132039.

LCM(949/20, 493/25, 727/606) = 340132039

LCM of 949/20, 493/25, 727/606

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 949/20,493/25,727/606

Given numbers are 949/20,493/25,727/606

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 949,493,727

Least Common Multiple of Numerators i.e. LCM of 949,493,727 is 340132039.

GCF of Denominators means GCF of 20,25,606 as per the given fractions.

GCF of 20,25,606 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 949,493,727

LCM of Fractions 949/20,493/25,727/606 is 340132039

Given numbers has no common factors except 1. So, there LCM is their product i.e 340132039

Least Common Multiple of 949,493,727 with GCF Formula

Least Common Multiple of 949,493,727 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 949,493,727 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(949,493,727) = 1

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

GCF(949,493,727) x common factors =1 x 1 = 1

LCM(949,493,727) = ( 949 × 493 × 727 ) / 1

LCM(949,493,727) = 340132039 / 1

LCM(949,493,727) = 340132039


Lets's calculate GCF of 20,25,606

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 340132039/1

Therefore the LCM of Fractions 949/20,493/25,727/606 is 340132039

Greatest Common Factor of 20,25,606 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,25,606 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Greatest Common Factor

We found the factors 20,25,606 . The biggest common factor number is the GCF number.
So the greatest common factor 20,25,606 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 949/20, 493/25, 727/606

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 949/20, 493/25, 727/606?

Answer: LCM of Numerators as per given numbers 949/20, 493/25, 727/606 is

LCM of Numerators i.e. for 949,493,727 is 340132039

GCF of denominators i.e. for 20,25,606 is 1.

Thus, LCM of Fractions is 340132039.Finally, LCM of Fractions for 949/20, 493/25, 727/606 is 340132039.