Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 655/322, 953/639, 151/432 quickly i.e. 94256465 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 655/322, 953/639, 151/432 is 94256465.
LCM(655/322, 953/639, 151/432) = 94256465
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 655/322,953/639,151/432
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 655,953,151
Least Common Multiple of Numerators i.e. LCM of 655,953,151 is 94256465.
GCF of Denominators means GCF of 322,639,432 as per the given fractions.
GCF of 322,639,432 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 655,953,151
Given numbers has no common factors except 1. So, there LCM is their product i.e 94256465
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 655,953,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,953,151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(655,953,151) x common factors =1 x 1 = 1
LCM(655,953,151) = ( 655 × 953 × 151 ) / 1
LCM(655,953,151) = 94256465 / 1
LCM(655,953,151) = 94256465
Lets's calculate GCF of 322,639,432
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94256465/1
Therefore the LCM of Fractions 655/322,953/639,151/432 is 94256465
Factors of 322
List of positive integer factors of 322 that divides 322 without a remainder.
1,2,7,14,23,46,161,322
Factors of 639
List of positive integer factors of 639 that divides 639 without a remainder.
1,3,9,71,213,639
Factors of 432
List of positive integer factors of 432 that divides 432 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
Greatest Common Factor
We found the factors 322,639,432 . The biggest common factor number is the GCF number.
So the greatest common factor 322,639,432 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 655/322, 953/639, 151/432?
Answer: LCM of Numerators as per given numbers 655/322, 953/639, 151/432 is
LCM of Numerators i.e. for 655,953,151 is 94256465
GCF of denominators i.e. for 322,639,432 is 1.
Thus, LCM of Fractions is 94256465.Finally, LCM of Fractions for 655/322, 953/639, 151/432 is 94256465.