Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4/54, 65/64, 63/45, 61/42 quickly i.e. 999180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4/54, 65/64, 63/45, 61/42 is 999180.
LCM(4/54, 65/64, 63/45, 61/42) = 999180
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4/54,65/64,63/45,61/42
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 4,65,63,61
Least Common Multiple of Numerators i.e. LCM of 4,65,63,61 is 999180.
GCF of Denominators means GCF of 54,64,45,42 as per the given fractions.
GCF of 54,64,45,42 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4,65,63,61
Given numbers has no common factors except 1. So, there LCM is their product i.e 999180
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 4,65,63,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4,65,63,61) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4,65,63,61) x common factors =1 x 1 = 1
LCM(4,65,63,61) = ( 4 × 65 × 63 × 61 ) / 1
LCM(4,65,63,61) = 999180 / 1
LCM(4,65,63,61) = 999180
Lets's calculate GCF of 54,64,45,42
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 999180/1
Therefore the LCM of Fractions 4/54,65/64,63/45,61/42 is 999180
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Greatest Common Factor
We found the factors 54,64,45,42 . The biggest common factor number is the GCF number.
So the greatest common factor 54,64,45,42 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 4/54, 65/64, 63/45, 61/42?
Answer: LCM of Numerators as per given numbers 4/54, 65/64, 63/45, 61/42 is
LCM of Numerators i.e. for 4,65,63,61 is 999180
GCF of denominators i.e. for 54,64,45,42 is 1.
Thus, LCM of Fractions is 999180.Finally, LCM of Fractions for 4/54, 65/64, 63/45, 61/42 is 999180.