Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4558/376, 8485/8442 quickly i.e. 19337315 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4558/376, 8485/8442 is 19337315.
LCM(4558/376, 8485/8442) = 19337315
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4558/376,8485/8442
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 4558,8485
Least Common Multiple of Numerators i.e. LCM of 4558,8485 is 38674630.
GCF of Denominators means GCF of 376,8442 as per the given fractions.
GCF of 376,8442 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4558,8485
Given numbers has no common factors except 1. So, there LCM is their product i.e 38674630
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 4558,8485 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4558,8485) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4558,8485) x common factors =1 x 1 = 1
LCM(4558,8485) = ( 4558 × 8485 ) / 1
LCM(4558,8485) = 38674630 / 1
LCM(4558,8485) = 38674630
Lets's calculate GCF of 376,8442
2 | 376, 8442 |
188, 4221 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38674630/2
Therefore the LCM of Fractions 4558/376,8485/8442 is 19337315
Factors of 376
List of positive integer factors of 376 that divides 376 without a remainder.
1,2,4,8,47,94,188,376
Factors of 8442
List of positive integer factors of 8442 that divides 8442 without a remainder.
1,2,3,6,7,9,14,18,21,42,63,67,126,134,201,402,469,603,938,1206,1407,2814,4221,8442
Greatest Common Factor
We found the factors 376,8442 . The biggest common factor number is the GCF number.
So the greatest common factor 376,8442 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 4558/376, 8485/8442?
Answer: LCM of Numerators as per given numbers 4558/376, 8485/8442 is
LCM of Numerators i.e. for 4558,8485 is 38674630
GCF of denominators i.e. for 376,8442 is 2.
Thus, LCM of Fractions is 19337315.Finally, LCM of Fractions for 4558/376, 8485/8442 is 19337315.