Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 66/82, 95/50, 24/72, 63/200 quickly i.e. 263340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 66/82, 95/50, 24/72, 63/200 is 263340.
LCM(66/82, 95/50, 24/72, 63/200) = 263340
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 66/82,95/50,24/72,63/200
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 66,95,24,63
Least Common Multiple of Numerators i.e. LCM of 66,95,24,63 is 526680.
GCF of Denominators means GCF of 82,50,72,200 as per the given fractions.
GCF of 82,50,72,200 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 66,95,24,63
2 | 66, 95, 24, 63 |
3 | 33, 95, 12, 63 |
11, 95, 4, 21 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 95 x 4 x 21 = 526680
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 66,95,24,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,95,24,63) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(66,95,24,63) x common factors =1 x 18 = 18
LCM(66,95,24,63) = ( 66 × 95 × 24 × 63 ) / 18
LCM(66,95,24,63) = 9480240 / 18
LCM(66,95,24,63) = 526680
Lets's calculate GCF of 82,50,72,200
2 | 82, 50, 72, 200 |
41, 25, 36, 100 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 526680/2
Therefore the LCM of Fractions 66/82,95/50,24/72,63/200 is 263340
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 200
List of positive integer factors of 200 that divides 200 without a remainder.
1,2,4,5,8,10,20,25,40,50,100,200
Greatest Common Factor
We found the factors 82,50,72,200 . The biggest common factor number is the GCF number.
So the greatest common factor 82,50,72,200 is 2.
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 66/82, 95/50, 24/72, 63/200?
Answer: LCM of Numerators as per given numbers 66/82, 95/50, 24/72, 63/200 is
LCM of Numerators i.e. for 66,95,24,63 is 526680
GCF of denominators i.e. for 82,50,72,200 is 2.
Thus, LCM of Fractions is 263340.Finally, LCM of Fractions for 66/82, 95/50, 24/72, 63/200 is 263340.