Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 588/51, 140/52, 312/188 quickly i.e. 76440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 588/51, 140/52, 312/188 is 76440.
LCM(588/51, 140/52, 312/188) = 76440
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 588/51,140/52,312/188
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 588,140,312
Least Common Multiple of Numerators i.e. LCM of 588,140,312 is 76440.
GCF of Denominators means GCF of 51,52,188 as per the given fractions.
GCF of 51,52,188 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 588,140,312
2 | 588, 140, 312 |
2 | 294, 70, 156 |
3 | 147, 35, 78 |
7 | 49, 35, 26 |
7, 5, 26 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 7 x 5 x 26 = 76440
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 588,140,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,140,312) = 4
common factors(in case of two or more numbers have common factors) = 84
GCF(588,140,312) x common factors =4 x 84 = 336
LCM(588,140,312) = ( 588 × 140 × 312 ) / 336
LCM(588,140,312) = 25683840 / 336
LCM(588,140,312) = 76440
Lets's calculate GCF of 51,52,188
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76440/1
Therefore the LCM of Fractions 588/51,140/52,312/188 is 76440
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 188
List of positive integer factors of 188 that divides 188 without a remainder.
1,2,4,47,94,188
Greatest Common Factor
We found the factors 51,52,188 . The biggest common factor number is the GCF number.
So the greatest common factor 51,52,188 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 588/51, 140/52, 312/188?
Answer: LCM of Numerators as per given numbers 588/51, 140/52, 312/188 is
LCM of Numerators i.e. for 588,140,312 is 76440
GCF of denominators i.e. for 51,52,188 is 1.
Thus, LCM of Fractions is 76440.Finally, LCM of Fractions for 588/51, 140/52, 312/188 is 76440.