Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/68, 67/96, 63/640 quickly i.e. 4221/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/68, 67/96, 63/640 is 4221/4.
LCM(67/68, 67/96, 63/640) = 4221/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/68,67/96,63/640
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 67,67,63
Least Common Multiple of Numerators i.e. LCM of 67,67,63 is 4221.
GCF of Denominators means GCF of 68,96,640 as per the given fractions.
GCF of 68,96,640 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,67,63
67 | 67, 67, 63 |
1, 1, 63 |
∴ So the LCM of the given numbers is 67 x 1 x 1 x 63 = 4221
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 67,67,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,67,63) = 1
common factors(in case of two or more numbers have common factors) = 67
GCF(67,67,63) x common factors =1 x 67 = 67
LCM(67,67,63) = ( 67 × 67 × 63 ) / 67
LCM(67,67,63) = 282807 / 67
LCM(67,67,63) = 4221
Lets's calculate GCF of 68,96,640
2 | 68, 96, 640 |
2 | 34, 48, 320 |
17, 24, 160 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4221/4
Therefore the LCM of Fractions 67/68,67/96,63/640 is 4221/4
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 640
List of positive integer factors of 640 that divides 640 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640
Greatest Common Factor
We found the factors 68,96,640 . The biggest common factor number is the GCF number.
So the greatest common factor 68,96,640 is 4.
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 67/68, 67/96, 63/640?
Answer: LCM of Numerators as per given numbers 67/68, 67/96, 63/640 is
LCM of Numerators i.e. for 67,67,63 is 4221
GCF of denominators i.e. for 68,96,640 is 4.
Thus, LCM of Fractions is 4221/4.Finally, LCM of Fractions for 67/68, 67/96, 63/640 is 4221/4.