Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 164/707, 5109/7461 quickly i.e. 837876 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 164/707, 5109/7461 is 837876.
LCM(164/707, 5109/7461) = 837876
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 164/707,5109/7461
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 164,5109
Least Common Multiple of Numerators i.e. LCM of 164,5109 is 837876.
GCF of Denominators means GCF of 707,7461 as per the given fractions.
GCF of 707,7461 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 164,5109
Given numbers has no common factors except 1. So, there LCM is their product i.e 837876
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 164,5109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,5109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(164,5109) x common factors =1 x 1 = 1
LCM(164,5109) = ( 164 × 5109 ) / 1
LCM(164,5109) = 837876 / 1
LCM(164,5109) = 837876
Lets's calculate GCF of 707,7461
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 837876/1
Therefore the LCM of Fractions 164/707,5109/7461 is 837876
Factors of 707
List of positive integer factors of 707 that divides 707 without a remainder.
1,7,101,707
Factors of 7461
List of positive integer factors of 7461 that divides 7461 without a remainder.
1,3,9,829,2487,7461
Greatest Common Factor
We found the factors 707,7461 . The biggest common factor number is the GCF number.
So the greatest common factor 707,7461 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 164/707, 5109/7461?
Answer: LCM of Numerators as per given numbers 164/707, 5109/7461 is
LCM of Numerators i.e. for 164,5109 is 837876
GCF of denominators i.e. for 707,7461 is 1.
Thus, LCM of Fractions is 837876.Finally, LCM of Fractions for 164/707, 5109/7461 is 837876.