Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 57/97, 412/62, 182/746 quickly i.e. 2137044 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 57/97, 412/62, 182/746 is 2137044.
LCM(57/97, 412/62, 182/746) = 2137044
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 57/97,412/62,182/746
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 57,412,182
Least Common Multiple of Numerators i.e. LCM of 57,412,182 is 2137044.
GCF of Denominators means GCF of 97,62,746 as per the given fractions.
GCF of 97,62,746 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 57,412,182
2 | 57, 412, 182 |
57, 206, 91 |
∴ So the LCM of the given numbers is 2 x 57 x 206 x 91 = 2137044
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 57,412,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,412,182) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(57,412,182) x common factors =1 x 2 = 2
LCM(57,412,182) = ( 57 × 412 × 182 ) / 2
LCM(57,412,182) = 4274088 / 2
LCM(57,412,182) = 2137044
Lets's calculate GCF of 97,62,746
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2137044/1
Therefore the LCM of Fractions 57/97,412/62,182/746 is 2137044
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 746
List of positive integer factors of 746 that divides 746 without a remainder.
1,2,373,746
Greatest Common Factor
We found the factors 97,62,746 . The biggest common factor number is the GCF number.
So the greatest common factor 97,62,746 is 1.
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 57/97, 412/62, 182/746?
Answer: LCM of Numerators as per given numbers 57/97, 412/62, 182/746 is
LCM of Numerators i.e. for 57,412,182 is 2137044
GCF of denominators i.e. for 97,62,746 is 1.
Thus, LCM of Fractions is 2137044.Finally, LCM of Fractions for 57/97, 412/62, 182/746 is 2137044.