Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 862/114, 6066/824 quickly i.e. 1307223 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 862/114, 6066/824 is 1307223.
LCM(862/114, 6066/824) = 1307223
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 862/114,6066/824
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 862,6066
Least Common Multiple of Numerators i.e. LCM of 862,6066 is 2614446.
GCF of Denominators means GCF of 114,824 as per the given fractions.
GCF of 114,824 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 862,6066
2 | 862, 6066 |
431, 3033 |
∴ So the LCM of the given numbers is 2 x 431 x 3033 = 2614446
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 862,6066 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(862,6066) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(862,6066) x common factors =2 x 1 = 2
LCM(862,6066) = ( 862 × 6066 ) / 2
LCM(862,6066) = 5228892 / 2
LCM(862,6066) = 2614446
Lets's calculate GCF of 114,824
2 | 114, 824 |
57, 412 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2614446/2
Therefore the LCM of Fractions 862/114,6066/824 is 1307223
Factors of 114
List of positive integer factors of 114 that divides 114 without a remainder.
1,2,3,6,19,38,57,114
Factors of 824
List of positive integer factors of 824 that divides 824 without a remainder.
1,2,4,8,103,206,412,824
Greatest Common Factor
We found the factors 114,824 . The biggest common factor number is the GCF number.
So the greatest common factor 114,824 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 862/114, 6066/824?
Answer: LCM of Numerators as per given numbers 862/114, 6066/824 is
LCM of Numerators i.e. for 862,6066 is 2614446
GCF of denominators i.e. for 114,824 is 2.
Thus, LCM of Fractions is 1307223.Finally, LCM of Fractions for 862/114, 6066/824 is 1307223.