Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/630, 77/486, 503/338 quickly i.e. 1587971 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 82/630, 77/486, 503/338 is 1587971.
LCM(82/630, 77/486, 503/338) = 1587971
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/630,77/486,503/338
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 82,77,503
Least Common Multiple of Numerators i.e. LCM of 82,77,503 is 3175942.
GCF of Denominators means GCF of 630,486,338 as per the given fractions.
GCF of 630,486,338 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,77,503
Given numbers has no common factors except 1. So, there LCM is their product i.e 3175942
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 82,77,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,77,503) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(82,77,503) x common factors =1 x 1 = 1
LCM(82,77,503) = ( 82 × 77 × 503 ) / 1
LCM(82,77,503) = 3175942 / 1
LCM(82,77,503) = 3175942
Lets's calculate GCF of 630,486,338
2 | 630, 486, 338 |
315, 243, 169 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3175942/2
Therefore the LCM of Fractions 82/630,77/486,503/338 is 1587971
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 486
List of positive integer factors of 486 that divides 486 without a remainder.
1,2,3,6,9,18,27,54,81,162,243,486
Factors of 338
List of positive integer factors of 338 that divides 338 without a remainder.
1,2,13,26,169,338
Greatest Common Factor
We found the factors 630,486,338 . The biggest common factor number is the GCF number.
So the greatest common factor 630,486,338 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 82/630, 77/486, 503/338?
Answer: LCM of Numerators as per given numbers 82/630, 77/486, 503/338 is
LCM of Numerators i.e. for 82,77,503 is 3175942
GCF of denominators i.e. for 630,486,338 is 2.
Thus, LCM of Fractions is 1587971.Finally, LCM of Fractions for 82/630, 77/486, 503/338 is 1587971.