Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 144/82, 893/26, 420/147 quickly i.e. 4500720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 144/82, 893/26, 420/147 is 4500720.
LCM(144/82, 893/26, 420/147) = 4500720
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 144/82,893/26,420/147
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 144,893,420
Least Common Multiple of Numerators i.e. LCM of 144,893,420 is 4500720.
GCF of Denominators means GCF of 82,26,147 as per the given fractions.
GCF of 82,26,147 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 144,893,420
2 | 144, 893, 420 |
2 | 72, 893, 210 |
3 | 36, 893, 105 |
12, 893, 35 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 12 x 893 x 35 = 4500720
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 144,893,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(144,893,420) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(144,893,420) x common factors =1 x 12 = 12
LCM(144,893,420) = ( 144 × 893 × 420 ) / 12
LCM(144,893,420) = 54008640 / 12
LCM(144,893,420) = 4500720
Lets's calculate GCF of 82,26,147
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4500720/1
Therefore the LCM of Fractions 144/82,893/26,420/147 is 4500720
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 147
List of positive integer factors of 147 that divides 147 without a remainder.
1,3,7,21,49,147
Greatest Common Factor
We found the factors 82,26,147 . The biggest common factor number is the GCF number.
So the greatest common factor 82,26,147 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 144/82, 893/26, 420/147?
Answer: LCM of Numerators as per given numbers 144/82, 893/26, 420/147 is
LCM of Numerators i.e. for 144,893,420 is 4500720
GCF of denominators i.e. for 82,26,147 is 1.
Thus, LCM of Fractions is 4500720.Finally, LCM of Fractions for 144/82, 893/26, 420/147 is 4500720.