Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 926/26, 283/26, 740/162 quickly i.e. 48480730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 926/26, 283/26, 740/162 is 48480730.
LCM(926/26, 283/26, 740/162) = 48480730
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 926/26,283/26,740/162
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 926,283,740
Least Common Multiple of Numerators i.e. LCM of 926,283,740 is 96961460.
GCF of Denominators means GCF of 26,26,162 as per the given fractions.
GCF of 26,26,162 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 926,283,740
2 | 926, 283, 740 |
463, 283, 370 |
∴ So the LCM of the given numbers is 2 x 463 x 283 x 370 = 96961460
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 926,283,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(926,283,740) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(926,283,740) x common factors =1 x 2 = 2
LCM(926,283,740) = ( 926 × 283 × 740 ) / 2
LCM(926,283,740) = 193922920 / 2
LCM(926,283,740) = 96961460
Lets's calculate GCF of 26,26,162
2 | 26, 26, 162 |
13, 13, 81 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96961460/2
Therefore the LCM of Fractions 926/26,283/26,740/162 is 48480730
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 162
List of positive integer factors of 162 that divides 162 without a remainder.
1,2,3,6,9,18,27,54,81,162
Greatest Common Factor
We found the factors 26,26,162 . The biggest common factor number is the GCF number.
So the greatest common factor 26,26,162 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 926/26, 283/26, 740/162?
Answer: LCM of Numerators as per given numbers 926/26, 283/26, 740/162 is
LCM of Numerators i.e. for 926,283,740 is 96961460
GCF of denominators i.e. for 26,26,162 is 2.
Thus, LCM of Fractions is 48480730.Finally, LCM of Fractions for 926/26, 283/26, 740/162 is 48480730.