Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 627/731, 972/455, 809/141 quickly i.e. 164346732 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 627/731, 972/455, 809/141 is 164346732.
LCM(627/731, 972/455, 809/141) = 164346732
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 627/731,972/455,809/141
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 627,972,809
Least Common Multiple of Numerators i.e. LCM of 627,972,809 is 164346732.
GCF of Denominators means GCF of 731,455,141 as per the given fractions.
GCF of 731,455,141 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 627,972,809
3 | 627, 972, 809 |
209, 324, 809 |
∴ So the LCM of the given numbers is 3 x 209 x 324 x 809 = 164346732
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 627,972,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(627,972,809) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(627,972,809) x common factors =1 x 3 = 3
LCM(627,972,809) = ( 627 × 972 × 809 ) / 3
LCM(627,972,809) = 493040196 / 3
LCM(627,972,809) = 164346732
Lets's calculate GCF of 731,455,141
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 164346732/1
Therefore the LCM of Fractions 627/731,972/455,809/141 is 164346732
Factors of 731
List of positive integer factors of 731 that divides 731 without a remainder.
1,17,43,731
Factors of 455
List of positive integer factors of 455 that divides 455 without a remainder.
1,5,7,13,35,65,91,455
Factors of 141
List of positive integer factors of 141 that divides 141 without a remainder.
1,3,47,141
Greatest Common Factor
We found the factors 731,455,141 . The biggest common factor number is the GCF number.
So the greatest common factor 731,455,141 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 627/731, 972/455, 809/141?
Answer: LCM of Numerators as per given numbers 627/731, 972/455, 809/141 is
LCM of Numerators i.e. for 627,972,809 is 164346732
GCF of denominators i.e. for 731,455,141 is 1.
Thus, LCM of Fractions is 164346732.Finally, LCM of Fractions for 627/731, 972/455, 809/141 is 164346732.