Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 914/682, 995/158 quickly i.e. 454715 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 914/682, 995/158 is 454715.
LCM(914/682, 995/158) = 454715
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 914/682,995/158
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 914,995
Least Common Multiple of Numerators i.e. LCM of 914,995 is 909430.
GCF of Denominators means GCF of 682,158 as per the given fractions.
GCF of 682,158 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 914,995
Given numbers has no common factors except 1. So, there LCM is their product i.e 909430
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 914,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(914,995) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(914,995) x common factors =1 x 1 = 1
LCM(914,995) = ( 914 × 995 ) / 1
LCM(914,995) = 909430 / 1
LCM(914,995) = 909430
Lets's calculate GCF of 682,158
2 | 682, 158 |
341, 79 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 909430/2
Therefore the LCM of Fractions 914/682,995/158 is 454715
Factors of 682
List of positive integer factors of 682 that divides 682 without a remainder.
1,2,11,22,31,62,341,682
Factors of 158
List of positive integer factors of 158 that divides 158 without a remainder.
1,2,79,158
Greatest Common Factor
We found the factors 682,158 . The biggest common factor number is the GCF number.
So the greatest common factor 682,158 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 914/682, 995/158?
Answer: LCM of Numerators as per given numbers 914/682, 995/158 is
LCM of Numerators i.e. for 914,995 is 909430
GCF of denominators i.e. for 682,158 is 2.
Thus, LCM of Fractions is 454715.Finally, LCM of Fractions for 914/682, 995/158 is 454715.