Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 145/20, 278/27, 242/552 quickly i.e. 4877510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 145/20, 278/27, 242/552 is 4877510.
LCM(145/20, 278/27, 242/552) = 4877510
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 145/20,278/27,242/552
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 145,278,242
Least Common Multiple of Numerators i.e. LCM of 145,278,242 is 4877510.
GCF of Denominators means GCF of 20,27,552 as per the given fractions.
GCF of 20,27,552 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 145,278,242
2 | 145, 278, 242 |
145, 139, 121 |
∴ So the LCM of the given numbers is 2 x 145 x 139 x 121 = 4877510
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 145,278,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(145,278,242) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(145,278,242) x common factors =1 x 2 = 2
LCM(145,278,242) = ( 145 × 278 × 242 ) / 2
LCM(145,278,242) = 9755020 / 2
LCM(145,278,242) = 4877510
Lets's calculate GCF of 20,27,552
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4877510/1
Therefore the LCM of Fractions 145/20,278/27,242/552 is 4877510
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 552
List of positive integer factors of 552 that divides 552 without a remainder.
1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Greatest Common Factor
We found the factors 20,27,552 . The biggest common factor number is the GCF number.
So the greatest common factor 20,27,552 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 145/20, 278/27, 242/552?
Answer: LCM of Numerators as per given numbers 145/20, 278/27, 242/552 is
LCM of Numerators i.e. for 145,278,242 is 4877510
GCF of denominators i.e. for 20,27,552 is 1.
Thus, LCM of Fractions is 4877510.Finally, LCM of Fractions for 145/20, 278/27, 242/552 is 4877510.