Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 35/36, 63/30, 64/75, 234/77 quickly i.e. 262080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 35/36, 63/30, 64/75, 234/77 is 262080.
LCM(35/36, 63/30, 64/75, 234/77) = 262080
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 35/36,63/30,64/75,234/77
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 35,63,64,234
Least Common Multiple of Numerators i.e. LCM of 35,63,64,234 is 262080.
GCF of Denominators means GCF of 36,30,75,77 as per the given fractions.
GCF of 36,30,75,77 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 35,63,64,234
2 | 35, 63, 64, 234 |
3 | 35, 63, 32, 117 |
3 | 35, 21, 32, 39 |
7 | 35, 7, 32, 13 |
5, 1, 32, 13 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 5 x 1 x 32 x 13 = 262080
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 35,63,64,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,63,64,234) = 1
common factors(in case of two or more numbers have common factors) = 126
GCF(35,63,64,234) x common factors =1 x 126 = 126
LCM(35,63,64,234) = ( 35 × 63 × 64 × 234 ) / 126
LCM(35,63,64,234) = 33022080 / 126
LCM(35,63,64,234) = 262080
Lets's calculate GCF of 36,30,75,77
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 262080/1
Therefore the LCM of Fractions 35/36,63/30,64/75,234/77 is 262080
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Greatest Common Factor
We found the factors 36,30,75,77 . The biggest common factor number is the GCF number.
So the greatest common factor 36,30,75,77 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 35/36, 63/30, 64/75, 234/77?
Answer: LCM of Numerators as per given numbers 35/36, 63/30, 64/75, 234/77 is
LCM of Numerators i.e. for 35,63,64,234 is 262080
GCF of denominators i.e. for 36,30,75,77 is 1.
Thus, LCM of Fractions is 262080.Finally, LCM of Fractions for 35/36, 63/30, 64/75, 234/77 is 262080.