Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 376/525, 8737/8260 quickly i.e. 3285112/35 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 376/525, 8737/8260 is 3285112/35.
LCM(376/525, 8737/8260) = 3285112/35
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 376/525,8737/8260
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 376,8737
Least Common Multiple of Numerators i.e. LCM of 376,8737 is 3285112.
GCF of Denominators means GCF of 525,8260 as per the given fractions.
GCF of 525,8260 is 35 as it is the largest common factor for these numbers.
Lets's calculate LCM of 376,8737
Given numbers has no common factors except 1. So, there LCM is their product i.e 3285112
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 376,8737 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(376,8737) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(376,8737) x common factors =1 x 1 = 1
LCM(376,8737) = ( 376 × 8737 ) / 1
LCM(376,8737) = 3285112 / 1
LCM(376,8737) = 3285112
Lets's calculate GCF of 525,8260
5 | 525, 8260 |
7 | 105, 1652 |
15, 236 |
∴ So the GCF of the given numbers is 5 x 7 = 35
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3285112/35
Therefore the LCM of Fractions 376/525,8737/8260 is 3285112/35
Factors of 525
List of positive integer factors of 525 that divides 525 without a remainder.
1,3,5,7,15,21,25,35,75,105,175,525
Factors of 8260
List of positive integer factors of 8260 that divides 8260 without a remainder.
1,2,4,5,7,10,14,20,28,35,59,70,118,140,236,295,413,590,826,1180,1652,2065,4130,8260
Greatest Common Factor
We found the factors 525,8260 . The biggest common factor number is the GCF number.
So the greatest common factor 525,8260 is 35.
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 376/525, 8737/8260?
Answer: LCM of Numerators as per given numbers 376/525, 8737/8260 is
LCM of Numerators i.e. for 376,8737 is 3285112
GCF of denominators i.e. for 525,8260 is 35.
Thus, LCM of Fractions is 3285112/35.Finally, LCM of Fractions for 376/525, 8737/8260 is 3285112/35.