Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 513/22, 295/70, 470/116 quickly i.e. 7112745 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 513/22, 295/70, 470/116 is 7112745.
LCM(513/22, 295/70, 470/116) = 7112745
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 513/22,295/70,470/116
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 513,295,470
Least Common Multiple of Numerators i.e. LCM of 513,295,470 is 14225490.
GCF of Denominators means GCF of 22,70,116 as per the given fractions.
GCF of 22,70,116 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 513,295,470
5 | 513, 295, 470 |
513, 59, 94 |
∴ So the LCM of the given numbers is 5 x 513 x 59 x 94 = 14225490
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 513,295,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,295,470) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(513,295,470) x common factors =1 x 5 = 5
LCM(513,295,470) = ( 513 × 295 × 470 ) / 5
LCM(513,295,470) = 71127450 / 5
LCM(513,295,470) = 14225490
Lets's calculate GCF of 22,70,116
2 | 22, 70, 116 |
11, 35, 58 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14225490/2
Therefore the LCM of Fractions 513/22,295/70,470/116 is 7112745
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 116
List of positive integer factors of 116 that divides 116 without a remainder.
1,2,4,29,58,116
Greatest Common Factor
We found the factors 22,70,116 . The biggest common factor number is the GCF number.
So the greatest common factor 22,70,116 is 2.
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 513/22, 295/70, 470/116?
Answer: LCM of Numerators as per given numbers 513/22, 295/70, 470/116 is
LCM of Numerators i.e. for 513,295,470 is 14225490
GCF of denominators i.e. for 22,70,116 is 2.
Thus, LCM of Fractions is 7112745.Finally, LCM of Fractions for 513/22, 295/70, 470/116 is 7112745.