Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 85/841, 42/275, 616/132 quickly i.e. 157080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 85/841, 42/275, 616/132 is 157080.
LCM(85/841, 42/275, 616/132) = 157080
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 85/841,42/275,616/132
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 85,42,616
Least Common Multiple of Numerators i.e. LCM of 85,42,616 is 157080.
GCF of Denominators means GCF of 841,275,132 as per the given fractions.
GCF of 841,275,132 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 85,42,616
2 | 85, 42, 616 |
7 | 85, 21, 308 |
85, 3, 44 |
∴ So the LCM of the given numbers is 2 x 7 x 85 x 3 x 44 = 157080
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 85,42,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,42,616) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(85,42,616) x common factors =1 x 14 = 14
LCM(85,42,616) = ( 85 × 42 × 616 ) / 14
LCM(85,42,616) = 2199120 / 14
LCM(85,42,616) = 157080
Lets's calculate GCF of 841,275,132
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 157080/1
Therefore the LCM of Fractions 85/841,42/275,616/132 is 157080
Factors of 841
List of positive integer factors of 841 that divides 841 without a remainder.
1,29,841
Factors of 275
List of positive integer factors of 275 that divides 275 without a remainder.
1,5,11,25,55,275
Factors of 132
List of positive integer factors of 132 that divides 132 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,132
Greatest Common Factor
We found the factors 841,275,132 . The biggest common factor number is the GCF number.
So the greatest common factor 841,275,132 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 85/841, 42/275, 616/132?
Answer: LCM of Numerators as per given numbers 85/841, 42/275, 616/132 is
LCM of Numerators i.e. for 85,42,616 is 157080
GCF of denominators i.e. for 841,275,132 is 1.
Thus, LCM of Fractions is 157080.Finally, LCM of Fractions for 85/841, 42/275, 616/132 is 157080.