Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 520/84, 3007/302 quickly i.e. 781820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 520/84, 3007/302 is 781820.
LCM(520/84, 3007/302) = 781820
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 520/84,3007/302
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 520,3007
Least Common Multiple of Numerators i.e. LCM of 520,3007 is 1563640.
GCF of Denominators means GCF of 84,302 as per the given fractions.
GCF of 84,302 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 520,3007
Given numbers has no common factors except 1. So, there LCM is their product i.e 1563640
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 520,3007 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(520,3007) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(520,3007) x common factors =1 x 1 = 1
LCM(520,3007) = ( 520 × 3007 ) / 1
LCM(520,3007) = 1563640 / 1
LCM(520,3007) = 1563640
Lets's calculate GCF of 84,302
2 | 84, 302 |
42, 151 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1563640/2
Therefore the LCM of Fractions 520/84,3007/302 is 781820
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 302
List of positive integer factors of 302 that divides 302 without a remainder.
1,2,151,302
Greatest Common Factor
We found the factors 84,302 . The biggest common factor number is the GCF number.
So the greatest common factor 84,302 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 520/84, 3007/302?
Answer: LCM of Numerators as per given numbers 520/84, 3007/302 is
LCM of Numerators i.e. for 520,3007 is 1563640
GCF of denominators i.e. for 84,302 is 2.
Thus, LCM of Fractions is 781820.Finally, LCM of Fractions for 520/84, 3007/302 is 781820.