Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/722, 768/438, 863/158 quickly i.e. 6959232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/722, 768/438, 863/158 is 6959232.
LCM(63/722, 768/438, 863/158) = 6959232
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/722,768/438,863/158
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 63,768,863
Least Common Multiple of Numerators i.e. LCM of 63,768,863 is 13918464.
GCF of Denominators means GCF of 722,438,158 as per the given fractions.
GCF of 722,438,158 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,768,863
3 | 63, 768, 863 |
21, 256, 863 |
∴ So the LCM of the given numbers is 3 x 21 x 256 x 863 = 13918464
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 63,768,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,768,863) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(63,768,863) x common factors =1 x 3 = 3
LCM(63,768,863) = ( 63 × 768 × 863 ) / 3
LCM(63,768,863) = 41755392 / 3
LCM(63,768,863) = 13918464
Lets's calculate GCF of 722,438,158
2 | 722, 438, 158 |
361, 219, 79 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13918464/2
Therefore the LCM of Fractions 63/722,768/438,863/158 is 6959232
Factors of 722
List of positive integer factors of 722 that divides 722 without a remainder.
1,2,19,38,361,722
Factors of 438
List of positive integer factors of 438 that divides 438 without a remainder.
1,2,3,6,73,146,219,438
Factors of 158
List of positive integer factors of 158 that divides 158 without a remainder.
1,2,79,158
Greatest Common Factor
We found the factors 722,438,158 . The biggest common factor number is the GCF number.
So the greatest common factor 722,438,158 is 2.
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 63/722, 768/438, 863/158?
Answer: LCM of Numerators as per given numbers 63/722, 768/438, 863/158 is
LCM of Numerators i.e. for 63,768,863 is 13918464
GCF of denominators i.e. for 722,438,158 is 2.
Thus, LCM of Fractions is 6959232.Finally, LCM of Fractions for 63/722, 768/438, 863/158 is 6959232.