Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/656, 42/934, 568/688 quickly i.e. 566580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/656, 42/934, 568/688 is 566580.
LCM(95/656, 42/934, 568/688) = 566580
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/656,42/934,568/688
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 95,42,568
Least Common Multiple of Numerators i.e. LCM of 95,42,568 is 1133160.
GCF of Denominators means GCF of 656,934,688 as per the given fractions.
GCF of 656,934,688 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,42,568
2 | 95, 42, 568 |
95, 21, 284 |
∴ So the LCM of the given numbers is 2 x 95 x 21 x 284 = 1133160
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 95,42,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,42,568) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(95,42,568) x common factors =1 x 2 = 2
LCM(95,42,568) = ( 95 × 42 × 568 ) / 2
LCM(95,42,568) = 2266320 / 2
LCM(95,42,568) = 1133160
Lets's calculate GCF of 656,934,688
2 | 656, 934, 688 |
328, 467, 344 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1133160/2
Therefore the LCM of Fractions 95/656,42/934,568/688 is 566580
Factors of 656
List of positive integer factors of 656 that divides 656 without a remainder.
1,2,4,8,16,41,82,164,328,656
Factors of 934
List of positive integer factors of 934 that divides 934 without a remainder.
1,2,467,934
Factors of 688
List of positive integer factors of 688 that divides 688 without a remainder.
1,2,4,8,16,43,86,172,344,688
Greatest Common Factor
We found the factors 656,934,688 . The biggest common factor number is the GCF number.
So the greatest common factor 656,934,688 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 95/656, 42/934, 568/688?
Answer: LCM of Numerators as per given numbers 95/656, 42/934, 568/688 is
LCM of Numerators i.e. for 95,42,568 is 1133160
GCF of denominators i.e. for 656,934,688 is 2.
Thus, LCM of Fractions is 566580.Finally, LCM of Fractions for 95/656, 42/934, 568/688 is 566580.