Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 78/340, 98/960, 574/898 quickly i.e. 78351 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 78/340, 98/960, 574/898 is 78351.
LCM(78/340, 98/960, 574/898) = 78351
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 78/340,98/960,574/898
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 78,98,574
Least Common Multiple of Numerators i.e. LCM of 78,98,574 is 156702.
GCF of Denominators means GCF of 340,960,898 as per the given fractions.
GCF of 340,960,898 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 78,98,574
2 | 78, 98, 574 |
7 | 39, 49, 287 |
39, 7, 41 |
∴ So the LCM of the given numbers is 2 x 7 x 39 x 7 x 41 = 156702
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 78,98,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,98,574) = 2
common factors(in case of two or more numbers have common factors) = 14
GCF(78,98,574) x common factors =2 x 14 = 28
LCM(78,98,574) = ( 78 × 98 × 574 ) / 28
LCM(78,98,574) = 4387656 / 28
LCM(78,98,574) = 156702
Lets's calculate GCF of 340,960,898
2 | 340, 960, 898 |
170, 480, 449 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 156702/2
Therefore the LCM of Fractions 78/340,98/960,574/898 is 78351
Factors of 340
List of positive integer factors of 340 that divides 340 without a remainder.
1,2,4,5,10,17,20,34,68,85,170,340
Factors of 960
List of positive integer factors of 960 that divides 960 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960
Factors of 898
List of positive integer factors of 898 that divides 898 without a remainder.
1,2,449,898
Greatest Common Factor
We found the factors 340,960,898 . The biggest common factor number is the GCF number.
So the greatest common factor 340,960,898 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 78/340, 98/960, 574/898?
Answer: LCM of Numerators as per given numbers 78/340, 98/960, 574/898 is
LCM of Numerators i.e. for 78,98,574 is 156702
GCF of denominators i.e. for 340,960,898 is 2.
Thus, LCM of Fractions is 78351.Finally, LCM of Fractions for 78/340, 98/960, 574/898 is 78351.