Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 42/15, 384/30, 140/895 quickly i.e. 2688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 42/15, 384/30, 140/895 is 2688.
LCM(42/15, 384/30, 140/895) = 2688
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 42/15,384/30,140/895
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 42,384,140
Least Common Multiple of Numerators i.e. LCM of 42,384,140 is 13440.
GCF of Denominators means GCF of 15,30,895 as per the given fractions.
GCF of 15,30,895 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 42,384,140
2 | 42, 384, 140 |
2 | 21, 192, 70 |
3 | 21, 96, 35 |
7 | 7, 32, 35 |
1, 32, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 32 x 5 = 13440
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 42,384,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,384,140) = 2
common factors(in case of two or more numbers have common factors) = 84
GCF(42,384,140) x common factors =2 x 84 = 168
LCM(42,384,140) = ( 42 × 384 × 140 ) / 168
LCM(42,384,140) = 2257920 / 168
LCM(42,384,140) = 13440
Lets's calculate GCF of 15,30,895
5 | 15, 30, 895 |
3, 6, 179 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13440/5
Therefore the LCM of Fractions 42/15,384/30,140/895 is 2688
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 895
List of positive integer factors of 895 that divides 895 without a remainder.
1,5,179,895
Greatest Common Factor
We found the factors 15,30,895 . The biggest common factor number is the GCF number.
So the greatest common factor 15,30,895 is 5.
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 42/15, 384/30, 140/895?
Answer: LCM of Numerators as per given numbers 42/15, 384/30, 140/895 is
LCM of Numerators i.e. for 42,384,140 is 13440
GCF of denominators i.e. for 15,30,895 is 5.
Thus, LCM of Fractions is 2688.Finally, LCM of Fractions for 42/15, 384/30, 140/895 is 2688.