Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 326/70, 5251/442 quickly i.e. 855913 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 326/70, 5251/442 is 855913.
LCM(326/70, 5251/442) = 855913
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 326/70,5251/442
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 326,5251
Least Common Multiple of Numerators i.e. LCM of 326,5251 is 1711826.
GCF of Denominators means GCF of 70,442 as per the given fractions.
GCF of 70,442 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 326,5251
Given numbers has no common factors except 1. So, there LCM is their product i.e 1711826
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 326,5251 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(326,5251) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(326,5251) x common factors =1 x 1 = 1
LCM(326,5251) = ( 326 × 5251 ) / 1
LCM(326,5251) = 1711826 / 1
LCM(326,5251) = 1711826
Lets's calculate GCF of 70,442
2 | 70, 442 |
35, 221 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1711826/2
Therefore the LCM of Fractions 326/70,5251/442 is 855913
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 442
List of positive integer factors of 442 that divides 442 without a remainder.
1,2,13,17,26,34,221,442
Greatest Common Factor
We found the factors 70,442 . The biggest common factor number is the GCF number.
So the greatest common factor 70,442 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 326/70, 5251/442?
Answer: LCM of Numerators as per given numbers 326/70, 5251/442 is
LCM of Numerators i.e. for 326,5251 is 1711826
GCF of denominators i.e. for 70,442 is 2.
Thus, LCM of Fractions is 855913.Finally, LCM of Fractions for 326/70, 5251/442 is 855913.