Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 117/10, 447/60, 230/750 quickly i.e. 400959 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 117/10, 447/60, 230/750 is 400959.
LCM(117/10, 447/60, 230/750) = 400959
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 117/10,447/60,230/750
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 117,447,230
Least Common Multiple of Numerators i.e. LCM of 117,447,230 is 4009590.
GCF of Denominators means GCF of 10,60,750 as per the given fractions.
GCF of 10,60,750 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 117,447,230
3 | 117, 447, 230 |
39, 149, 230 |
∴ So the LCM of the given numbers is 3 x 39 x 149 x 230 = 4009590
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 117,447,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(117,447,230) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(117,447,230) x common factors =1 x 3 = 3
LCM(117,447,230) = ( 117 × 447 × 230 ) / 3
LCM(117,447,230) = 12028770 / 3
LCM(117,447,230) = 4009590
Lets's calculate GCF of 10,60,750
2 | 10, 60, 750 |
5 | 5, 30, 375 |
1, 6, 75 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4009590/10
Therefore the LCM of Fractions 117/10,447/60,230/750 is 400959
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 750
List of positive integer factors of 750 that divides 750 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750
Greatest Common Factor
We found the factors 10,60,750 . The biggest common factor number is the GCF number.
So the greatest common factor 10,60,750 is 10.
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 117/10, 447/60, 230/750?
Answer: LCM of Numerators as per given numbers 117/10, 447/60, 230/750 is
LCM of Numerators i.e. for 117,447,230 is 4009590
GCF of denominators i.e. for 10,60,750 is 10.
Thus, LCM of Fractions is 400959.Finally, LCM of Fractions for 117/10, 447/60, 230/750 is 400959.