Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 467/28, 560/40, 757/448 quickly i.e. 49492660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 467/28, 560/40, 757/448 is 49492660.
LCM(467/28, 560/40, 757/448) = 49492660
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 467/28,560/40,757/448
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 467,560,757
Least Common Multiple of Numerators i.e. LCM of 467,560,757 is 197970640.
GCF of Denominators means GCF of 28,40,448 as per the given fractions.
GCF of 28,40,448 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 467,560,757
Given numbers has no common factors except 1. So, there LCM is their product i.e 197970640
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 467,560,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(467,560,757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(467,560,757) x common factors =1 x 1 = 1
LCM(467,560,757) = ( 467 × 560 × 757 ) / 1
LCM(467,560,757) = 197970640 / 1
LCM(467,560,757) = 197970640
Lets's calculate GCF of 28,40,448
2 | 28, 40, 448 |
2 | 14, 20, 224 |
7, 10, 112 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 197970640/4
Therefore the LCM of Fractions 467/28,560/40,757/448 is 49492660
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 448
List of positive integer factors of 448 that divides 448 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,224,448
Greatest Common Factor
We found the factors 28,40,448 . The biggest common factor number is the GCF number.
So the greatest common factor 28,40,448 is 4.
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 467/28, 560/40, 757/448?
Answer: LCM of Numerators as per given numbers 467/28, 560/40, 757/448 is
LCM of Numerators i.e. for 467,560,757 is 197970640
GCF of denominators i.e. for 28,40,448 is 4.
Thus, LCM of Fractions is 49492660.Finally, LCM of Fractions for 467/28, 560/40, 757/448 is 49492660.