Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 262/414, 5610/552 quickly i.e. 734910/138 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 262/414, 5610/552 is 734910/138.
LCM(262/414, 5610/552) = 734910/138
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 262/414,5610/552
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 262,5610
Least Common Multiple of Numerators i.e. LCM of 262,5610 is 734910.
GCF of Denominators means GCF of 414,552 as per the given fractions.
GCF of 414,552 is 138 as it is the largest common factor for these numbers.
Lets's calculate LCM of 262,5610
2 | 262, 5610 |
131, 2805 |
∴ So the LCM of the given numbers is 2 x 131 x 2805 = 734910
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 262,5610 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(262,5610) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(262,5610) x common factors =2 x 1 = 2
LCM(262,5610) = ( 262 × 5610 ) / 2
LCM(262,5610) = 1469820 / 2
LCM(262,5610) = 734910
Lets's calculate GCF of 414,552
2 | 414, 552 |
3 | 207, 276 |
23 | 69, 92 |
3, 4 |
∴ So the GCF of the given numbers is 2 x 3 x 23 = 138
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 734910/138
Therefore the LCM of Fractions 262/414,5610/552 is 734910/138
Factors of 414
List of positive integer factors of 414 that divides 414 without a remainder.
1,2,3,6,9,18,23,46,69,138,207,414
Factors of 552
List of positive integer factors of 552 that divides 552 without a remainder.
1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Greatest Common Factor
We found the factors 414,552 . The biggest common factor number is the GCF number.
So the greatest common factor 414,552 is 138.
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 262/414, 5610/552?
Answer: LCM of Numerators as per given numbers 262/414, 5610/552 is
LCM of Numerators i.e. for 262,5610 is 734910
GCF of denominators i.e. for 414,552 is 138.
Thus, LCM of Fractions is 734910/138.Finally, LCM of Fractions for 262/414, 5610/552 is 734910/138.