Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 800/15, 146/24, 730/753 quickly i.e. 58400/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 800/15, 146/24, 730/753 is 58400/3.
LCM(800/15, 146/24, 730/753) = 58400/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 800/15,146/24,730/753
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 800,146,730
Least Common Multiple of Numerators i.e. LCM of 800,146,730 is 58400.
GCF of Denominators means GCF of 15,24,753 as per the given fractions.
GCF of 15,24,753 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 800,146,730
2 | 800, 146, 730 |
5 | 400, 73, 365 |
73 | 80, 73, 73 |
80, 1, 1 |
∴ So the LCM of the given numbers is 2 x 5 x 73 x 80 x 1 x 1 = 58400
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 800,146,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(800,146,730) = 2
common factors(in case of two or more numbers have common factors) = 730
GCF(800,146,730) x common factors =2 x 730 = 1460
LCM(800,146,730) = ( 800 × 146 × 730 ) / 1460
LCM(800,146,730) = 85264000 / 1460
LCM(800,146,730) = 58400
Lets's calculate GCF of 15,24,753
3 | 15, 24, 753 |
5, 8, 251 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58400/3
Therefore the LCM of Fractions 800/15,146/24,730/753 is 58400/3
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 753
List of positive integer factors of 753 that divides 753 without a remainder.
1,3,251,753
Greatest Common Factor
We found the factors 15,24,753 . The biggest common factor number is the GCF number.
So the greatest common factor 15,24,753 is 3.
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 800/15, 146/24, 730/753?
Answer: LCM of Numerators as per given numbers 800/15, 146/24, 730/753 is
LCM of Numerators i.e. for 800,146,730 is 58400
GCF of denominators i.e. for 15,24,753 is 3.
Thus, LCM of Fractions is 58400/3.Finally, LCM of Fractions for 800/15, 146/24, 730/753 is 58400/3.