Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8054/102, 7073/950 quickly i.e. 28482971 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8054/102, 7073/950 is 28482971.
LCM(8054/102, 7073/950) = 28482971
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8054/102,7073/950
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 8054,7073
Least Common Multiple of Numerators i.e. LCM of 8054,7073 is 56965942.
GCF of Denominators means GCF of 102,950 as per the given fractions.
GCF of 102,950 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8054,7073
Given numbers has no common factors except 1. So, there LCM is their product i.e 56965942
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 8054,7073 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8054,7073) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8054,7073) x common factors =1 x 1 = 1
LCM(8054,7073) = ( 8054 × 7073 ) / 1
LCM(8054,7073) = 56965942 / 1
LCM(8054,7073) = 56965942
Lets's calculate GCF of 102,950
2 | 102, 950 |
51, 475 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56965942/2
Therefore the LCM of Fractions 8054/102,7073/950 is 28482971
Factors of 102
List of positive integer factors of 102 that divides 102 without a remainder.
1,2,3,6,17,34,51,102
Factors of 950
List of positive integer factors of 950 that divides 950 without a remainder.
1,2,5,10,19,25,38,50,95,190,475,950
Greatest Common Factor
We found the factors 102,950 . The biggest common factor number is the GCF number.
So the greatest common factor 102,950 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 8054/102, 7073/950?
Answer: LCM of Numerators as per given numbers 8054/102, 7073/950 is
LCM of Numerators i.e. for 8054,7073 is 56965942
GCF of denominators i.e. for 102,950 is 2.
Thus, LCM of Fractions is 28482971.Finally, LCM of Fractions for 8054/102, 7073/950 is 28482971.