Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 161/72, 421/53, 805/63 quickly i.e. 338905 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 161/72, 421/53, 805/63 is 338905.
LCM(161/72, 421/53, 805/63) = 338905
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 161/72,421/53,805/63
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 161,421,805
Least Common Multiple of Numerators i.e. LCM of 161,421,805 is 338905.
GCF of Denominators means GCF of 72,53,63 as per the given fractions.
GCF of 72,53,63 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 161,421,805
7 | 161, 421, 805 |
23 | 23, 421, 115 |
1, 421, 5 |
∴ So the LCM of the given numbers is 7 x 23 x 1 x 421 x 5 = 338905
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 161,421,805 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(161,421,805) = 1
common factors(in case of two or more numbers have common factors) = 161
GCF(161,421,805) x common factors =1 x 161 = 161
LCM(161,421,805) = ( 161 × 421 × 805 ) / 161
LCM(161,421,805) = 54563705 / 161
LCM(161,421,805) = 338905
Lets's calculate GCF of 72,53,63
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 338905/1
Therefore the LCM of Fractions 161/72,421/53,805/63 is 338905
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 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Greatest Common Factor
We found the factors 72,53,63 . The biggest common factor number is the GCF number.
So the greatest common factor 72,53,63 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 161/72, 421/53, 805/63?
Answer: LCM of Numerators as per given numbers 161/72, 421/53, 805/63 is
LCM of Numerators i.e. for 161,421,805 is 338905
GCF of denominators i.e. for 72,53,63 is 1.
Thus, LCM of Fractions is 338905.Finally, LCM of Fractions for 161/72, 421/53, 805/63 is 338905.