Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 862/976, 8034/7075 quickly i.e. 3462654 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 862/976, 8034/7075 is 3462654.
LCM(862/976, 8034/7075) = 3462654
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 862/976,8034/7075
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 862,8034
Least Common Multiple of Numerators i.e. LCM of 862,8034 is 3462654.
GCF of Denominators means GCF of 976,7075 as per the given fractions.
GCF of 976,7075 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 862,8034
2 | 862, 8034 |
431, 4017 |
∴ So the LCM of the given numbers is 2 x 431 x 4017 = 3462654
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 862,8034 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(862,8034) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(862,8034) x common factors =2 x 1 = 2
LCM(862,8034) = ( 862 × 8034 ) / 2
LCM(862,8034) = 6925308 / 2
LCM(862,8034) = 3462654
Lets's calculate GCF of 976,7075
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3462654/1
Therefore the LCM of Fractions 862/976,8034/7075 is 3462654
Factors of 976
List of positive integer factors of 976 that divides 976 without a remainder.
1,2,4,8,16,61,122,244,488,976
Factors of 7075
List of positive integer factors of 7075 that divides 7075 without a remainder.
1,5,25,283,1415,7075
Greatest Common Factor
We found the factors 976,7075 . The biggest common factor number is the GCF number.
So the greatest common factor 976,7075 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 862/976, 8034/7075?
Answer: LCM of Numerators as per given numbers 862/976, 8034/7075 is
LCM of Numerators i.e. for 862,8034 is 3462654
GCF of denominators i.e. for 976,7075 is 1.
Thus, LCM of Fractions is 3462654.Finally, LCM of Fractions for 862/976, 8034/7075 is 3462654.