Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 15/21, 48/28, 14/45, 74/368 quickly i.e. 62160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 15/21, 48/28, 14/45, 74/368 is 62160.
LCM(15/21, 48/28, 14/45, 74/368) = 62160
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 15/21,48/28,14/45,74/368
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 15,48,14,74
Least Common Multiple of Numerators i.e. LCM of 15,48,14,74 is 62160.
GCF of Denominators means GCF of 21,28,45,368 as per the given fractions.
GCF of 21,28,45,368 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 15,48,14,74
2 | 15, 48, 14, 74 |
3 | 15, 24, 7, 37 |
5, 8, 7, 37 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 8 x 7 x 37 = 62160
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 15,48,14,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,48,14,74) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(15,48,14,74) x common factors =1 x 12 = 12
LCM(15,48,14,74) = ( 15 × 48 × 14 × 74 ) / 12
LCM(15,48,14,74) = 745920 / 12
LCM(15,48,14,74) = 62160
Lets's calculate GCF of 21,28,45,368
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62160/1
Therefore the LCM of Fractions 15/21,48/28,14/45,74/368 is 62160
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 368
List of positive integer factors of 368 that divides 368 without a remainder.
1,2,4,8,16,23,46,92,184,368
Greatest Common Factor
We found the factors 21,28,45,368 . The biggest common factor number is the GCF number.
So the greatest common factor 21,28,45,368 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 15/21, 48/28, 14/45, 74/368?
Answer: LCM of Numerators as per given numbers 15/21, 48/28, 14/45, 74/368 is
LCM of Numerators i.e. for 15,48,14,74 is 62160
GCF of denominators i.e. for 21,28,45,368 is 1.
Thus, LCM of Fractions is 62160.Finally, LCM of Fractions for 15/21, 48/28, 14/45, 74/368 is 62160.