Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8578/862, 6757/742 quickly i.e. 28980773 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8578/862, 6757/742 is 28980773.
LCM(8578/862, 6757/742) = 28980773
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8578/862,6757/742
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 8578,6757
Least Common Multiple of Numerators i.e. LCM of 8578,6757 is 57961546.
GCF of Denominators means GCF of 862,742 as per the given fractions.
GCF of 862,742 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8578,6757
Given numbers has no common factors except 1. So, there LCM is their product i.e 57961546
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 8578,6757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8578,6757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8578,6757) x common factors =1 x 1 = 1
LCM(8578,6757) = ( 8578 × 6757 ) / 1
LCM(8578,6757) = 57961546 / 1
LCM(8578,6757) = 57961546
Lets's calculate GCF of 862,742
2 | 862, 742 |
431, 371 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57961546/2
Therefore the LCM of Fractions 8578/862,6757/742 is 28980773
Factors of 862
List of positive integer factors of 862 that divides 862 without a remainder.
1,2,431,862
Factors of 742
List of positive integer factors of 742 that divides 742 without a remainder.
1,2,7,14,53,106,371,742
Greatest Common Factor
We found the factors 862,742 . The biggest common factor number is the GCF number.
So the greatest common factor 862,742 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 8578/862, 6757/742?
Answer: LCM of Numerators as per given numbers 8578/862, 6757/742 is
LCM of Numerators i.e. for 8578,6757 is 57961546
GCF of denominators i.e. for 862,742 is 2.
Thus, LCM of Fractions is 28980773.Finally, LCM of Fractions for 8578/862, 6757/742 is 28980773.