Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/496, 466/102, 299/263 quickly i.e. 6130696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/496, 466/102, 299/263 is 6130696.
LCM(88/496, 466/102, 299/263) = 6130696
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/496,466/102,299/263
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 88,466,299
Least Common Multiple of Numerators i.e. LCM of 88,466,299 is 6130696.
GCF of Denominators means GCF of 496,102,263 as per the given fractions.
GCF of 496,102,263 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,466,299
2 | 88, 466, 299 |
44, 233, 299 |
∴ So the LCM of the given numbers is 2 x 44 x 233 x 299 = 6130696
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 88,466,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,466,299) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(88,466,299) x common factors =1 x 2 = 2
LCM(88,466,299) = ( 88 × 466 × 299 ) / 2
LCM(88,466,299) = 12261392 / 2
LCM(88,466,299) = 6130696
Lets's calculate GCF of 496,102,263
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6130696/1
Therefore the LCM of Fractions 88/496,466/102,299/263 is 6130696
Factors of 496
List of positive integer factors of 496 that divides 496 without a remainder.
1,2,4,8,16,31,62,124,248,496
Factors of 102
List of positive integer factors of 102 that divides 102 without a remainder.
1,2,3,6,17,34,51,102
Factors of 263
List of positive integer factors of 263 that divides 263 without a remainder.
1,263
Greatest Common Factor
We found the factors 496,102,263 . The biggest common factor number is the GCF number.
So the greatest common factor 496,102,263 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 88/496, 466/102, 299/263?
Answer: LCM of Numerators as per given numbers 88/496, 466/102, 299/263 is
LCM of Numerators i.e. for 88,466,299 is 6130696
GCF of denominators i.e. for 496,102,263 is 1.
Thus, LCM of Fractions is 6130696.Finally, LCM of Fractions for 88/496, 466/102, 299/263 is 6130696.