Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 92/631, 540/570, 513/140 quickly i.e. 235980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 92/631, 540/570, 513/140 is 235980.
LCM(92/631, 540/570, 513/140) = 235980
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 92/631,540/570,513/140
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 92,540,513
Least Common Multiple of Numerators i.e. LCM of 92,540,513 is 235980.
GCF of Denominators means GCF of 631,570,140 as per the given fractions.
GCF of 631,570,140 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 92,540,513
2 | 92, 540, 513 |
2 | 46, 270, 513 |
3 | 23, 135, 513 |
3 | 23, 45, 171 |
3 | 23, 15, 57 |
23, 5, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 23 x 5 x 19 = 235980
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 92,540,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,540,513) = 1
common factors(in case of two or more numbers have common factors) = 108
GCF(92,540,513) x common factors =1 x 108 = 108
LCM(92,540,513) = ( 92 × 540 × 513 ) / 108
LCM(92,540,513) = 25485840 / 108
LCM(92,540,513) = 235980
Lets's calculate GCF of 631,570,140
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 235980/1
Therefore the LCM of Fractions 92/631,540/570,513/140 is 235980
Factors of 631
List of positive integer factors of 631 that divides 631 without a remainder.
1,631
Factors of 570
List of positive integer factors of 570 that divides 570 without a remainder.
1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570
Factors of 140
List of positive integer factors of 140 that divides 140 without a remainder.
1,2,4,5,7,10,14,20,28,35,70,140
Greatest Common Factor
We found the factors 631,570,140 . The biggest common factor number is the GCF number.
So the greatest common factor 631,570,140 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 92/631, 540/570, 513/140?
Answer: LCM of Numerators as per given numbers 92/631, 540/570, 513/140 is
LCM of Numerators i.e. for 92,540,513 is 235980
GCF of denominators i.e. for 631,570,140 is 1.
Thus, LCM of Fractions is 235980.Finally, LCM of Fractions for 92/631, 540/570, 513/140 is 235980.