Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6980/44, 8373/804 quickly i.e. 14610885 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6980/44, 8373/804 is 14610885.
LCM(6980/44, 8373/804) = 14610885
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6980/44,8373/804
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 6980,8373
Least Common Multiple of Numerators i.e. LCM of 6980,8373 is 58443540.
GCF of Denominators means GCF of 44,804 as per the given fractions.
GCF of 44,804 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6980,8373
Given numbers has no common factors except 1. So, there LCM is their product i.e 58443540
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 6980,8373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6980,8373) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6980,8373) x common factors =1 x 1 = 1
LCM(6980,8373) = ( 6980 × 8373 ) / 1
LCM(6980,8373) = 58443540 / 1
LCM(6980,8373) = 58443540
Lets's calculate GCF of 44,804
2 | 44, 804 |
2 | 22, 402 |
11, 201 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58443540/4
Therefore the LCM of Fractions 6980/44,8373/804 is 14610885
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 804
List of positive integer factors of 804 that divides 804 without a remainder.
1,2,3,4,6,12,67,134,201,268,402,804
Greatest Common Factor
We found the factors 44,804 . The biggest common factor number is the GCF number.
So the greatest common factor 44,804 is 4.
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 6980/44, 8373/804?
Answer: LCM of Numerators as per given numbers 6980/44, 8373/804 is
LCM of Numerators i.e. for 6980,8373 is 58443540
GCF of denominators i.e. for 44,804 is 4.
Thus, LCM of Fractions is 14610885.Finally, LCM of Fractions for 6980/44, 8373/804 is 14610885.