Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 37/63, 70/16, 96/14, 28/25 quickly i.e. 124320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 37/63, 70/16, 96/14, 28/25 is 124320.
LCM(37/63, 70/16, 96/14, 28/25) = 124320
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 37/63,70/16,96/14,28/25
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 37,70,96,28
Least Common Multiple of Numerators i.e. LCM of 37,70,96,28 is 124320.
GCF of Denominators means GCF of 63,16,14,25 as per the given fractions.
GCF of 63,16,14,25 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 37,70,96,28
2 | 37, 70, 96, 28 |
2 | 37, 35, 48, 14 |
7 | 37, 35, 24, 7 |
37, 5, 24, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 37 x 5 x 24 x 1 = 124320
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 37,70,96,28 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,70,96,28) = 1
common factors(in case of two or more numbers have common factors) = 56
GCF(37,70,96,28) x common factors =1 x 56 = 56
LCM(37,70,96,28) = ( 37 × 70 × 96 × 28 ) / 56
LCM(37,70,96,28) = 6961920 / 56
LCM(37,70,96,28) = 124320
Lets's calculate GCF of 63,16,14,25
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124320/1
Therefore the LCM of Fractions 37/63,70/16,96/14,28/25 is 124320
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Greatest Common Factor
We found the factors 63,16,14,25 . The biggest common factor number is the GCF number.
So the greatest common factor 63,16,14,25 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 37/63, 70/16, 96/14, 28/25?
Answer: LCM of Numerators as per given numbers 37/63, 70/16, 96/14, 28/25 is
LCM of Numerators i.e. for 37,70,96,28 is 124320
GCF of denominators i.e. for 63,16,14,25 is 1.
Thus, LCM of Fractions is 124320.Finally, LCM of Fractions for 37/63, 70/16, 96/14, 28/25 is 124320.