Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 37/40, 42/45, 63/62, 29/893 quickly i.e. 135198 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 37/40, 42/45, 63/62, 29/893 is 135198.
LCM(37/40, 42/45, 63/62, 29/893) = 135198
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 37/40,42/45,63/62,29/893
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 37,42,63,29
Least Common Multiple of Numerators i.e. LCM of 37,42,63,29 is 135198.
GCF of Denominators means GCF of 40,45,62,893 as per the given fractions.
GCF of 40,45,62,893 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 37,42,63,29
3 | 37, 42, 63, 29 |
7 | 37, 14, 21, 29 |
37, 2, 3, 29 |
∴ So the LCM of the given numbers is 3 x 7 x 37 x 2 x 3 x 29 = 135198
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 37,42,63,29 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,42,63,29) = 1
common factors(in case of two or more numbers have common factors) = 21
GCF(37,42,63,29) x common factors =1 x 21 = 21
LCM(37,42,63,29) = ( 37 × 42 × 63 × 29 ) / 21
LCM(37,42,63,29) = 2839158 / 21
LCM(37,42,63,29) = 135198
Lets's calculate GCF of 40,45,62,893
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 135198/1
Therefore the LCM of Fractions 37/40,42/45,63/62,29/893 is 135198
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 893
List of positive integer factors of 893 that divides 893 without a remainder.
1,19,47,893
Greatest Common Factor
We found the factors 40,45,62,893 . The biggest common factor number is the GCF number.
So the greatest common factor 40,45,62,893 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 37/40, 42/45, 63/62, 29/893?
Answer: LCM of Numerators as per given numbers 37/40, 42/45, 63/62, 29/893 is
LCM of Numerators i.e. for 37,42,63,29 is 135198
GCF of denominators i.e. for 40,45,62,893 is 1.
Thus, LCM of Fractions is 135198.Finally, LCM of Fractions for 37/40, 42/45, 63/62, 29/893 is 135198.