Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 520/137, 6951/6302 quickly i.e. 3614520/137 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 520/137, 6951/6302 is 3614520/137.
LCM(520/137, 6951/6302) = 3614520/137
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 520/137,6951/6302
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 520,6951
Least Common Multiple of Numerators i.e. LCM of 520,6951 is 3614520.
GCF of Denominators means GCF of 137,6302 as per the given fractions.
GCF of 137,6302 is 137 as it is the largest common factor for these numbers.
Lets's calculate LCM of 520,6951
Given numbers has no common factors except 1. So, there LCM is their product i.e 3614520
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 520,6951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(520,6951) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(520,6951) x common factors =1 x 1 = 1
LCM(520,6951) = ( 520 × 6951 ) / 1
LCM(520,6951) = 3614520 / 1
LCM(520,6951) = 3614520
Lets's calculate GCF of 137,6302
137 | 137, 6302 |
1, 46 |
∴ So the GCF of the given numbers is 137 = 137
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3614520/137
Therefore the LCM of Fractions 520/137,6951/6302 is 3614520/137
Factors of 137
List of positive integer factors of 137 that divides 137 without a remainder.
1,137
Factors of 6302
List of positive integer factors of 6302 that divides 6302 without a remainder.
1,2,23,46,137,274,3151,6302
Greatest Common Factor
We found the factors 137,6302 . The biggest common factor number is the GCF number.
So the greatest common factor 137,6302 is 137.
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 520/137, 6951/6302?
Answer: LCM of Numerators as per given numbers 520/137, 6951/6302 is
LCM of Numerators i.e. for 520,6951 is 3614520
GCF of denominators i.e. for 137,6302 is 137.
Thus, LCM of Fractions is 3614520/137.Finally, LCM of Fractions for 520/137, 6951/6302 is 3614520/137.