Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 406/147, 489/337, 617/872 quickly i.e. 122495478 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 406/147, 489/337, 617/872 is 122495478.
LCM(406/147, 489/337, 617/872) = 122495478
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 406/147,489/337,617/872
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 406,489,617
Least Common Multiple of Numerators i.e. LCM of 406,489,617 is 122495478.
GCF of Denominators means GCF of 147,337,872 as per the given fractions.
GCF of 147,337,872 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 406,489,617
Given numbers has no common factors except 1. So, there LCM is their product i.e 122495478
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 406,489,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,489,617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(406,489,617) x common factors =1 x 1 = 1
LCM(406,489,617) = ( 406 × 489 × 617 ) / 1
LCM(406,489,617) = 122495478 / 1
LCM(406,489,617) = 122495478
Lets's calculate GCF of 147,337,872
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 122495478/1
Therefore the LCM of Fractions 406/147,489/337,617/872 is 122495478
Factors of 147
List of positive integer factors of 147 that divides 147 without a remainder.
1,3,7,21,49,147
Factors of 337
List of positive integer factors of 337 that divides 337 without a remainder.
1,337
Factors of 872
List of positive integer factors of 872 that divides 872 without a remainder.
1,2,4,8,109,218,436,872
Greatest Common Factor
We found the factors 147,337,872 . The biggest common factor number is the GCF number.
So the greatest common factor 147,337,872 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 406/147, 489/337, 617/872?
Answer: LCM of Numerators as per given numbers 406/147, 489/337, 617/872 is
LCM of Numerators i.e. for 406,489,617 is 122495478
GCF of denominators i.e. for 147,337,872 is 1.
Thus, LCM of Fractions is 122495478.Finally, LCM of Fractions for 406/147, 489/337, 617/872 is 122495478.