Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 83/77, 58/199, 153/631 quickly i.e. 736542 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 83/77, 58/199, 153/631 is 736542.
LCM(83/77, 58/199, 153/631) = 736542
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 83/77,58/199,153/631
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 83,58,153
Least Common Multiple of Numerators i.e. LCM of 83,58,153 is 736542.
GCF of Denominators means GCF of 77,199,631 as per the given fractions.
GCF of 77,199,631 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 83,58,153
Given numbers has no common factors except 1. So, there LCM is their product i.e 736542
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 83,58,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,58,153) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,58,153) x common factors =1 x 1 = 1
LCM(83,58,153) = ( 83 × 58 × 153 ) / 1
LCM(83,58,153) = 736542 / 1
LCM(83,58,153) = 736542
Lets's calculate GCF of 77,199,631
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 736542/1
Therefore the LCM of Fractions 83/77,58/199,153/631 is 736542
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 199
List of positive integer factors of 199 that divides 199 without a remainder.
1,199
Factors of 631
List of positive integer factors of 631 that divides 631 without a remainder.
1,631
Greatest Common Factor
We found the factors 77,199,631 . The biggest common factor number is the GCF number.
So the greatest common factor 77,199,631 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 83/77, 58/199, 153/631?
Answer: LCM of Numerators as per given numbers 83/77, 58/199, 153/631 is
LCM of Numerators i.e. for 83,58,153 is 736542
GCF of denominators i.e. for 77,199,631 is 1.
Thus, LCM of Fractions is 736542.Finally, LCM of Fractions for 83/77, 58/199, 153/631 is 736542.