Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 59/630, 87/758, 316/239 quickly i.e. 1622028 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 59/630, 87/758, 316/239 is 1622028.
LCM(59/630, 87/758, 316/239) = 1622028
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 59/630,87/758,316/239
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 59,87,316
Least Common Multiple of Numerators i.e. LCM of 59,87,316 is 1622028.
GCF of Denominators means GCF of 630,758,239 as per the given fractions.
GCF of 630,758,239 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 59,87,316
Given numbers has no common factors except 1. So, there LCM is their product i.e 1622028
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 59,87,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,87,316) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,87,316) x common factors =1 x 1 = 1
LCM(59,87,316) = ( 59 × 87 × 316 ) / 1
LCM(59,87,316) = 1622028 / 1
LCM(59,87,316) = 1622028
Lets's calculate GCF of 630,758,239
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1622028/1
Therefore the LCM of Fractions 59/630,87/758,316/239 is 1622028
Factors of 630
List of positive integer factors of 630 that divides 630 without a remainder.
1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630
Factors of 758
List of positive integer factors of 758 that divides 758 without a remainder.
1,2,379,758
Factors of 239
List of positive integer factors of 239 that divides 239 without a remainder.
1,239
Greatest Common Factor
We found the factors 630,758,239 . The biggest common factor number is the GCF number.
So the greatest common factor 630,758,239 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 59/630, 87/758, 316/239?
Answer: LCM of Numerators as per given numbers 59/630, 87/758, 316/239 is
LCM of Numerators i.e. for 59,87,316 is 1622028
GCF of denominators i.e. for 630,758,239 is 1.
Thus, LCM of Fractions is 1622028.Finally, LCM of Fractions for 59/630, 87/758, 316/239 is 1622028.