Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 530/19, 945/94, 504/616 quickly i.e. 400680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 530/19, 945/94, 504/616 is 400680.
LCM(530/19, 945/94, 504/616) = 400680
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 530/19,945/94,504/616
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 530,945,504
Least Common Multiple of Numerators i.e. LCM of 530,945,504 is 400680.
GCF of Denominators means GCF of 19,94,616 as per the given fractions.
GCF of 19,94,616 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 530,945,504
2 | 530, 945, 504 |
3 | 265, 945, 252 |
3 | 265, 315, 84 |
5 | 265, 105, 28 |
7 | 53, 21, 28 |
53, 3, 4 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 7 x 53 x 3 x 4 = 400680
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 530,945,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(530,945,504) = 1
common factors(in case of two or more numbers have common factors) = 630
GCF(530,945,504) x common factors =1 x 630 = 630
LCM(530,945,504) = ( 530 × 945 × 504 ) / 630
LCM(530,945,504) = 252428400 / 630
LCM(530,945,504) = 400680
Lets's calculate GCF of 19,94,616
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 400680/1
Therefore the LCM of Fractions 530/19,945/94,504/616 is 400680
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 616
List of positive integer factors of 616 that divides 616 without a remainder.
1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Greatest Common Factor
We found the factors 19,94,616 . The biggest common factor number is the GCF number.
So the greatest common factor 19,94,616 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 530/19, 945/94, 504/616?
Answer: LCM of Numerators as per given numbers 530/19, 945/94, 504/616 is
LCM of Numerators i.e. for 530,945,504 is 400680
GCF of denominators i.e. for 19,94,616 is 1.
Thus, LCM of Fractions is 400680.Finally, LCM of Fractions for 530/19, 945/94, 504/616 is 400680.