Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7216/228, 7557/1912 quickly i.e. 1239348 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7216/228, 7557/1912 is 1239348.
LCM(7216/228, 7557/1912) = 1239348
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7216/228,7557/1912
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 7216,7557
Least Common Multiple of Numerators i.e. LCM of 7216,7557 is 4957392.
GCF of Denominators means GCF of 228,1912 as per the given fractions.
GCF of 228,1912 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7216,7557
11 | 7216, 7557 |
656, 687 |
∴ So the LCM of the given numbers is 11 x 656 x 687 = 4957392
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 7216,7557 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7216,7557) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(7216,7557) x common factors =11 x 1 = 11
LCM(7216,7557) = ( 7216 × 7557 ) / 11
LCM(7216,7557) = 54531312 / 11
LCM(7216,7557) = 4957392
Lets's calculate GCF of 228,1912
2 | 228, 1912 |
2 | 114, 956 |
57, 478 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4957392/4
Therefore the LCM of Fractions 7216/228,7557/1912 is 1239348
Factors of 228
List of positive integer factors of 228 that divides 228 without a remainder.
1,2,3,4,6,12,19,38,57,76,114,228
Factors of 1912
List of positive integer factors of 1912 that divides 1912 without a remainder.
1,2,4,8,239,478,956,1912
Greatest Common Factor
We found the factors 228,1912 . The biggest common factor number is the GCF number.
So the greatest common factor 228,1912 is 4.
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 7216/228, 7557/1912?
Answer: LCM of Numerators as per given numbers 7216/228, 7557/1912 is
LCM of Numerators i.e. for 7216,7557 is 4957392
GCF of denominators i.e. for 228,1912 is 4.
Thus, LCM of Fractions is 1239348.Finally, LCM of Fractions for 7216/228, 7557/1912 is 1239348.