Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/642, 264/449, 481/818 quickly i.e. 126984 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/642, 264/449, 481/818 is 126984.
LCM(88/642, 264/449, 481/818) = 126984
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/642,264/449,481/818
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 88,264,481
Least Common Multiple of Numerators i.e. LCM of 88,264,481 is 126984.
GCF of Denominators means GCF of 642,449,818 as per the given fractions.
GCF of 642,449,818 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,264,481
2 | 88, 264, 481 |
2 | 44, 132, 481 |
2 | 22, 66, 481 |
11 | 11, 33, 481 |
1, 3, 481 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 1 x 3 x 481 = 126984
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 88,264,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,264,481) = 1
common factors(in case of two or more numbers have common factors) = 88
GCF(88,264,481) x common factors =1 x 88 = 88
LCM(88,264,481) = ( 88 × 264 × 481 ) / 88
LCM(88,264,481) = 11174592 / 88
LCM(88,264,481) = 126984
Lets's calculate GCF of 642,449,818
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 126984/1
Therefore the LCM of Fractions 88/642,264/449,481/818 is 126984
Factors of 642
List of positive integer factors of 642 that divides 642 without a remainder.
1,2,3,6,107,214,321,642
Factors of 449
List of positive integer factors of 449 that divides 449 without a remainder.
1,449
Factors of 818
List of positive integer factors of 818 that divides 818 without a remainder.
1,2,409,818
Greatest Common Factor
We found the factors 642,449,818 . The biggest common factor number is the GCF number.
So the greatest common factor 642,449,818 is 1.
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 88/642, 264/449, 481/818?
Answer: LCM of Numerators as per given numbers 88/642, 264/449, 481/818 is
LCM of Numerators i.e. for 88,264,481 is 126984
GCF of denominators i.e. for 642,449,818 is 1.
Thus, LCM of Fractions is 126984.Finally, LCM of Fractions for 88/642, 264/449, 481/818 is 126984.