Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 56/458, 70/112, 115/940 quickly i.e. 3220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 56/458, 70/112, 115/940 is 3220.
LCM(56/458, 70/112, 115/940) = 3220
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 56/458,70/112,115/940
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 56,70,115
Least Common Multiple of Numerators i.e. LCM of 56,70,115 is 6440.
GCF of Denominators means GCF of 458,112,940 as per the given fractions.
GCF of 458,112,940 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 56,70,115
2 | 56, 70, 115 |
5 | 28, 35, 115 |
7 | 28, 7, 23 |
4, 1, 23 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 4 x 1 x 23 = 6440
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 56,70,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,70,115) = 1
common factors(in case of two or more numbers have common factors) = 70
GCF(56,70,115) x common factors =1 x 70 = 70
LCM(56,70,115) = ( 56 × 70 × 115 ) / 70
LCM(56,70,115) = 450800 / 70
LCM(56,70,115) = 6440
Lets's calculate GCF of 458,112,940
2 | 458, 112, 940 |
229, 56, 470 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6440/2
Therefore the LCM of Fractions 56/458,70/112,115/940 is 3220
Factors of 458
List of positive integer factors of 458 that divides 458 without a remainder.
1,2,229,458
Factors of 112
List of positive integer factors of 112 that divides 112 without a remainder.
1,2,4,7,8,14,16,28,56,112
Factors of 940
List of positive integer factors of 940 that divides 940 without a remainder.
1,2,4,5,10,20,47,94,188,235,470,940
Greatest Common Factor
We found the factors 458,112,940 . The biggest common factor number is the GCF number.
So the greatest common factor 458,112,940 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 56/458, 70/112, 115/940?
Answer: LCM of Numerators as per given numbers 56/458, 70/112, 115/940 is
LCM of Numerators i.e. for 56,70,115 is 6440
GCF of denominators i.e. for 458,112,940 is 2.
Thus, LCM of Fractions is 3220.Finally, LCM of Fractions for 56/458, 70/112, 115/940 is 3220.