Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/787, 577/26, 710/663 quickly i.e. 19254490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/787, 577/26, 710/663 is 19254490.
LCM(94/787, 577/26, 710/663) = 19254490
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/787,577/26,710/663
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 94,577,710
Least Common Multiple of Numerators i.e. LCM of 94,577,710 is 19254490.
GCF of Denominators means GCF of 787,26,663 as per the given fractions.
GCF of 787,26,663 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,577,710
2 | 94, 577, 710 |
47, 577, 355 |
∴ So the LCM of the given numbers is 2 x 47 x 577 x 355 = 19254490
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 94,577,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,577,710) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(94,577,710) x common factors =1 x 2 = 2
LCM(94,577,710) = ( 94 × 577 × 710 ) / 2
LCM(94,577,710) = 38508980 / 2
LCM(94,577,710) = 19254490
Lets's calculate GCF of 787,26,663
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19254490/1
Therefore the LCM of Fractions 94/787,577/26,710/663 is 19254490
Factors of 787
List of positive integer factors of 787 that divides 787 without a remainder.
1,787
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 663
List of positive integer factors of 663 that divides 663 without a remainder.
1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 787,26,663 . The biggest common factor number is the GCF number.
So the greatest common factor 787,26,663 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 94/787, 577/26, 710/663?
Answer: LCM of Numerators as per given numbers 94/787, 577/26, 710/663 is
LCM of Numerators i.e. for 94,577,710 is 19254490
GCF of denominators i.e. for 787,26,663 is 1.
Thus, LCM of Fractions is 19254490.Finally, LCM of Fractions for 94/787, 577/26, 710/663 is 19254490.