Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5/77, 4/63, 3/68, 16/964 quickly i.e. 240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5/77, 4/63, 3/68, 16/964 is 240.
LCM(5/77, 4/63, 3/68, 16/964) = 240
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5/77,4/63,3/68,16/964
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 5,4,3,16
Least Common Multiple of Numerators i.e. LCM of 5,4,3,16 is 240.
GCF of Denominators means GCF of 77,63,68,964 as per the given fractions.
GCF of 77,63,68,964 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5,4,3,16
2 | 5, 4, 3, 16 |
2 | 5, 2, 3, 8 |
5, 1, 3, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 3 x 4 = 240
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 5,4,3,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5,4,3,16) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(5,4,3,16) x common factors =1 x 4 = 4
LCM(5,4,3,16) = ( 5 × 4 × 3 × 16 ) / 4
LCM(5,4,3,16) = 960 / 4
LCM(5,4,3,16) = 240
Lets's calculate GCF of 77,63,68,964
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 240/1
Therefore the LCM of Fractions 5/77,4/63,3/68,16/964 is 240
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 964
List of positive integer factors of 964 that divides 964 without a remainder.
1,2,4,241,482,964
Greatest Common Factor
We found the factors 77,63,68,964 . The biggest common factor number is the GCF number.
So the greatest common factor 77,63,68,964 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 5/77, 4/63, 3/68, 16/964?
Answer: LCM of Numerators as per given numbers 5/77, 4/63, 3/68, 16/964 is
LCM of Numerators i.e. for 5,4,3,16 is 240
GCF of denominators i.e. for 77,63,68,964 is 1.
Thus, LCM of Fractions is 240.Finally, LCM of Fractions for 5/77, 4/63, 3/68, 16/964 is 240.