Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 73/10, 22/42, 184/577 quickly i.e. 147752 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 73/10, 22/42, 184/577 is 147752.
LCM(73/10, 22/42, 184/577) = 147752
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 73/10,22/42,184/577
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 73,22,184
Least Common Multiple of Numerators i.e. LCM of 73,22,184 is 147752.
GCF of Denominators means GCF of 10,42,577 as per the given fractions.
GCF of 10,42,577 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 73,22,184
2 | 73, 22, 184 |
73, 11, 92 |
∴ So the LCM of the given numbers is 2 x 73 x 11 x 92 = 147752
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 73,22,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,22,184) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(73,22,184) x common factors =1 x 2 = 2
LCM(73,22,184) = ( 73 × 22 × 184 ) / 2
LCM(73,22,184) = 295504 / 2
LCM(73,22,184) = 147752
Lets's calculate GCF of 10,42,577
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 147752/1
Therefore the LCM of Fractions 73/10,22/42,184/577 is 147752
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 577
List of positive integer factors of 577 that divides 577 without a remainder.
1,577
Greatest Common Factor
We found the factors 10,42,577 . The biggest common factor number is the GCF number.
So the greatest common factor 10,42,577 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 73/10, 22/42, 184/577?
Answer: LCM of Numerators as per given numbers 73/10, 22/42, 184/577 is
LCM of Numerators i.e. for 73,22,184 is 147752
GCF of denominators i.e. for 10,42,577 is 1.
Thus, LCM of Fractions is 147752.Finally, LCM of Fractions for 73/10, 22/42, 184/577 is 147752.