Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 996/517, 608/256, 934/642 quickly i.e. 70700064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 996/517, 608/256, 934/642 is 70700064.
LCM(996/517, 608/256, 934/642) = 70700064
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 996/517,608/256,934/642
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 996,608,934
Least Common Multiple of Numerators i.e. LCM of 996,608,934 is 70700064.
GCF of Denominators means GCF of 517,256,642 as per the given fractions.
GCF of 517,256,642 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 996,608,934
2 | 996, 608, 934 |
2 | 498, 304, 467 |
249, 152, 467 |
∴ So the LCM of the given numbers is 2 x 2 x 249 x 152 x 467 = 70700064
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 996,608,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(996,608,934) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(996,608,934) x common factors =2 x 4 = 8
LCM(996,608,934) = ( 996 × 608 × 934 ) / 8
LCM(996,608,934) = 565600512 / 8
LCM(996,608,934) = 70700064
Lets's calculate GCF of 517,256,642
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70700064/1
Therefore the LCM of Fractions 996/517,608/256,934/642 is 70700064
Factors of 517
List of positive integer factors of 517 that divides 517 without a remainder.
1,11,47,517
Factors of 256
List of positive integer factors of 256 that divides 256 without a remainder.
1,2,4,8,16,32,64,128,256
Factors of 642
List of positive integer factors of 642 that divides 642 without a remainder.
1,2,3,6,107,214,321,642
Greatest Common Factor
We found the factors 517,256,642 . The biggest common factor number is the GCF number.
So the greatest common factor 517,256,642 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 996/517, 608/256, 934/642?
Answer: LCM of Numerators as per given numbers 996/517, 608/256, 934/642 is
LCM of Numerators i.e. for 996,608,934 is 70700064
GCF of denominators i.e. for 517,256,642 is 1.
Thus, LCM of Fractions is 70700064.Finally, LCM of Fractions for 996/517, 608/256, 934/642 is 70700064.