Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 662/72, 552/7376 quickly i.e. 22839 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 662/72, 552/7376 is 22839.
LCM(662/72, 552/7376) = 22839
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 662/72,552/7376
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 662,552
Least Common Multiple of Numerators i.e. LCM of 662,552 is 182712.
GCF of Denominators means GCF of 72,7376 as per the given fractions.
GCF of 72,7376 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 662,552
2 | 662, 552 |
331, 276 |
∴ So the LCM of the given numbers is 2 x 331 x 276 = 182712
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 662,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(662,552) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(662,552) x common factors =2 x 1 = 2
LCM(662,552) = ( 662 × 552 ) / 2
LCM(662,552) = 365424 / 2
LCM(662,552) = 182712
Lets's calculate GCF of 72,7376
2 | 72, 7376 |
2 | 36, 3688 |
2 | 18, 1844 |
9, 922 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 182712/8
Therefore the LCM of Fractions 662/72,552/7376 is 22839
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 7376
List of positive integer factors of 7376 that divides 7376 without a remainder.
1,2,4,8,16,461,922,1844,3688,7376
Greatest Common Factor
We found the factors 72,7376 . The biggest common factor number is the GCF number.
So the greatest common factor 72,7376 is 8.
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 662/72, 552/7376?
Answer: LCM of Numerators as per given numbers 662/72, 552/7376 is
LCM of Numerators i.e. for 662,552 is 182712
GCF of denominators i.e. for 72,7376 is 8.
Thus, LCM of Fractions is 22839.Finally, LCM of Fractions for 662/72, 552/7376 is 22839.