Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7228/954, 8818/748 quickly i.e. 15934126 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7228/954, 8818/748 is 15934126.
LCM(7228/954, 8818/748) = 15934126
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7228/954,8818/748
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 7228,8818
Least Common Multiple of Numerators i.e. LCM of 7228,8818 is 31868252.
GCF of Denominators means GCF of 954,748 as per the given fractions.
GCF of 954,748 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7228,8818
2 | 7228, 8818 |
3614, 4409 |
∴ So the LCM of the given numbers is 2 x 3614 x 4409 = 31868252
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 7228,8818 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7228,8818) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(7228,8818) x common factors =2 x 1 = 2
LCM(7228,8818) = ( 7228 × 8818 ) / 2
LCM(7228,8818) = 63736504 / 2
LCM(7228,8818) = 31868252
Lets's calculate GCF of 954,748
2 | 954, 748 |
477, 374 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31868252/2
Therefore the LCM of Fractions 7228/954,8818/748 is 15934126
Factors of 954
List of positive integer factors of 954 that divides 954 without a remainder.
1,2,3,6,9,18,53,106,159,318,477,954
Factors of 748
List of positive integer factors of 748 that divides 748 without a remainder.
1,2,4,11,17,22,34,44,68,187,374,748
Greatest Common Factor
We found the factors 954,748 . The biggest common factor number is the GCF number.
So the greatest common factor 954,748 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 7228/954, 8818/748?
Answer: LCM of Numerators as per given numbers 7228/954, 8818/748 is
LCM of Numerators i.e. for 7228,8818 is 31868252
GCF of denominators i.e. for 954,748 is 2.
Thus, LCM of Fractions is 15934126.Finally, LCM of Fractions for 7228/954, 8818/748 is 15934126.