Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 54/707, 8458/9234 quickly i.e. 228366 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 54/707, 8458/9234 is 228366.
LCM(54/707, 8458/9234) = 228366
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 54/707,8458/9234
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 54,8458
Least Common Multiple of Numerators i.e. LCM of 54,8458 is 228366.
GCF of Denominators means GCF of 707,9234 as per the given fractions.
GCF of 707,9234 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 54,8458
2 | 54, 8458 |
27, 4229 |
∴ So the LCM of the given numbers is 2 x 27 x 4229 = 228366
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 54,8458 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,8458) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(54,8458) x common factors =2 x 1 = 2
LCM(54,8458) = ( 54 × 8458 ) / 2
LCM(54,8458) = 456732 / 2
LCM(54,8458) = 228366
Lets's calculate GCF of 707,9234
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 228366/1
Therefore the LCM of Fractions 54/707,8458/9234 is 228366
Factors of 707
List of positive integer factors of 707 that divides 707 without a remainder.
1,7,101,707
Factors of 9234
List of positive integer factors of 9234 that divides 9234 without a remainder.
1,2,3,6,9,18,19,27,38,54,57,81,114,162,171,243,342,486,513,1026,1539,3078,4617,9234
Greatest Common Factor
We found the factors 707,9234 . The biggest common factor number is the GCF number.
So the greatest common factor 707,9234 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 54/707, 8458/9234?
Answer: LCM of Numerators as per given numbers 54/707, 8458/9234 is
LCM of Numerators i.e. for 54,8458 is 228366
GCF of denominators i.e. for 707,9234 is 1.
Thus, LCM of Fractions is 228366.Finally, LCM of Fractions for 54/707, 8458/9234 is 228366.