Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 58/910, 669/160, 937/415 quickly i.e. 36357474/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 58/910, 669/160, 937/415 is 36357474/5.
LCM(58/910, 669/160, 937/415) = 36357474/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 58/910,669/160,937/415
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 58,669,937
Least Common Multiple of Numerators i.e. LCM of 58,669,937 is 36357474.
GCF of Denominators means GCF of 910,160,415 as per the given fractions.
GCF of 910,160,415 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 58,669,937
Given numbers has no common factors except 1. So, there LCM is their product i.e 36357474
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 58,669,937 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,669,937) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(58,669,937) x common factors =1 x 1 = 1
LCM(58,669,937) = ( 58 × 669 × 937 ) / 1
LCM(58,669,937) = 36357474 / 1
LCM(58,669,937) = 36357474
Lets's calculate GCF of 910,160,415
5 | 910, 160, 415 |
182, 32, 83 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36357474/5
Therefore the LCM of Fractions 58/910,669/160,937/415 is 36357474/5
Factors of 910
List of positive integer factors of 910 that divides 910 without a remainder.
1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910
Factors of 160
List of positive integer factors of 160 that divides 160 without a remainder.
1,2,4,5,8,10,16,20,32,40,80,160
Factors of 415
List of positive integer factors of 415 that divides 415 without a remainder.
1,5,83,415
Greatest Common Factor
We found the factors 910,160,415 . The biggest common factor number is the GCF number.
So the greatest common factor 910,160,415 is 5.
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 58/910, 669/160, 937/415?
Answer: LCM of Numerators as per given numbers 58/910, 669/160, 937/415 is
LCM of Numerators i.e. for 58,669,937 is 36357474
GCF of denominators i.e. for 910,160,415 is 5.
Thus, LCM of Fractions is 36357474/5.Finally, LCM of Fractions for 58/910, 669/160, 937/415 is 36357474/5.