Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 616/21, 113/77, 435/712 quickly i.e. 30279480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 616/21, 113/77, 435/712 is 30279480.
LCM(616/21, 113/77, 435/712) = 30279480
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 616/21,113/77,435/712
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 616,113,435
Least Common Multiple of Numerators i.e. LCM of 616,113,435 is 30279480.
GCF of Denominators means GCF of 21,77,712 as per the given fractions.
GCF of 21,77,712 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 616,113,435
Given numbers has no common factors except 1. So, there LCM is their product i.e 30279480
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 616,113,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(616,113,435) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(616,113,435) x common factors =1 x 1 = 1
LCM(616,113,435) = ( 616 × 113 × 435 ) / 1
LCM(616,113,435) = 30279480 / 1
LCM(616,113,435) = 30279480
Lets's calculate GCF of 21,77,712
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30279480/1
Therefore the LCM of Fractions 616/21,113/77,435/712 is 30279480
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 712
List of positive integer factors of 712 that divides 712 without a remainder.
1,2,4,8,89,178,356,712
Greatest Common Factor
We found the factors 21,77,712 . The biggest common factor number is the GCF number.
So the greatest common factor 21,77,712 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 616/21, 113/77, 435/712?
Answer: LCM of Numerators as per given numbers 616/21, 113/77, 435/712 is
LCM of Numerators i.e. for 616,113,435 is 30279480
GCF of denominators i.e. for 21,77,712 is 1.
Thus, LCM of Fractions is 30279480.Finally, LCM of Fractions for 616/21, 113/77, 435/712 is 30279480.