Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 272/88, 842/3348 quickly i.e. 28628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 272/88, 842/3348 is 28628.
LCM(272/88, 842/3348) = 28628
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 272/88,842/3348
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 272,842
Least Common Multiple of Numerators i.e. LCM of 272,842 is 114512.
GCF of Denominators means GCF of 88,3348 as per the given fractions.
GCF of 88,3348 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 272,842
2 | 272, 842 |
136, 421 |
∴ So the LCM of the given numbers is 2 x 136 x 421 = 114512
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 272,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(272,842) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(272,842) x common factors =2 x 1 = 2
LCM(272,842) = ( 272 × 842 ) / 2
LCM(272,842) = 229024 / 2
LCM(272,842) = 114512
Lets's calculate GCF of 88,3348
2 | 88, 3348 |
2 | 44, 1674 |
22, 837 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114512/4
Therefore the LCM of Fractions 272/88,842/3348 is 28628
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 3348
List of positive integer factors of 3348 that divides 3348 without a remainder.
1,2,3,4,6,9,12,18,27,31,36,54,62,93,108,124,186,279,372,558,837,1116,1674,3348
Greatest Common Factor
We found the factors 88,3348 . The biggest common factor number is the GCF number.
So the greatest common factor 88,3348 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 272/88, 842/3348?
Answer: LCM of Numerators as per given numbers 272/88, 842/3348 is
LCM of Numerators i.e. for 272,842 is 114512
GCF of denominators i.e. for 88,3348 is 4.
Thus, LCM of Fractions is 28628.Finally, LCM of Fractions for 272/88, 842/3348 is 28628.