Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 102/800, 814/674 quickly i.e. 20757 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 102/800, 814/674 is 20757.
LCM(102/800, 814/674) = 20757
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 102/800,814/674
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 102,814
Least Common Multiple of Numerators i.e. LCM of 102,814 is 41514.
GCF of Denominators means GCF of 800,674 as per the given fractions.
GCF of 800,674 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 102,814
2 | 102, 814 |
51, 407 |
∴ So the LCM of the given numbers is 2 x 51 x 407 = 41514
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 102,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(102,814) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(102,814) x common factors =2 x 1 = 2
LCM(102,814) = ( 102 × 814 ) / 2
LCM(102,814) = 83028 / 2
LCM(102,814) = 41514
Lets's calculate GCF of 800,674
2 | 800, 674 |
400, 337 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41514/2
Therefore the LCM of Fractions 102/800,814/674 is 20757
Factors of 800
List of positive integer factors of 800 that divides 800 without a remainder.
1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800
Factors of 674
List of positive integer factors of 674 that divides 674 without a remainder.
1,2,337,674
Greatest Common Factor
We found the factors 800,674 . The biggest common factor number is the GCF number.
So the greatest common factor 800,674 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 102/800, 814/674?
Answer: LCM of Numerators as per given numbers 102/800, 814/674 is
LCM of Numerators i.e. for 102,814 is 41514
GCF of denominators i.e. for 800,674 is 2.
Thus, LCM of Fractions is 20757.Finally, LCM of Fractions for 102/800, 814/674 is 20757.