Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 22/734, 5476/5076 quickly i.e. 30118 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 22/734, 5476/5076 is 30118.
LCM(22/734, 5476/5076) = 30118
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 22/734,5476/5076
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 22,5476
Least Common Multiple of Numerators i.e. LCM of 22,5476 is 60236.
GCF of Denominators means GCF of 734,5076 as per the given fractions.
GCF of 734,5076 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 22,5476
2 | 22, 5476 |
11, 2738 |
∴ So the LCM of the given numbers is 2 x 11 x 2738 = 60236
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 22,5476 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,5476) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(22,5476) x common factors =2 x 1 = 2
LCM(22,5476) = ( 22 × 5476 ) / 2
LCM(22,5476) = 120472 / 2
LCM(22,5476) = 60236
Lets's calculate GCF of 734,5076
2 | 734, 5076 |
367, 2538 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60236/2
Therefore the LCM of Fractions 22/734,5476/5076 is 30118
Factors of 734
List of positive integer factors of 734 that divides 734 without a remainder.
1,2,367,734
Factors of 5076
List of positive integer factors of 5076 that divides 5076 without a remainder.
1,2,3,4,6,9,12,18,27,36,47,54,94,108,141,188,282,423,564,846,1269,1692,2538,5076
Greatest Common Factor
We found the factors 734,5076 . The biggest common factor number is the GCF number.
So the greatest common factor 734,5076 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 22/734, 5476/5076?
Answer: LCM of Numerators as per given numbers 22/734, 5476/5076 is
LCM of Numerators i.e. for 22,5476 is 60236
GCF of denominators i.e. for 734,5076 is 2.
Thus, LCM of Fractions is 30118.Finally, LCM of Fractions for 22/734, 5476/5076 is 30118.