Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 448/70, 224/9817 quickly i.e. 448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 448/70, 224/9817 is 448.
LCM(448/70, 224/9817) = 448
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 448/70,224/9817
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 448,224
Least Common Multiple of Numerators i.e. LCM of 448,224 is 448.
GCF of Denominators means GCF of 70,9817 as per the given fractions.
GCF of 70,9817 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 448,224
2 | 448, 224 |
2 | 224, 112 |
2 | 56, 112 |
2 | 28, 56 |
2 | 14, 28 |
7 | 7, 14 |
1, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 7 x 1 x 2 = 448
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 448,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(448,224) = 224
common factors(in case of two or more numbers have common factors) = 1
GCF(448,224) x common factors =224 x 1 = 224
LCM(448,224) = ( 448 × 224 ) / 224
LCM(448,224) = 100352 / 224
LCM(448,224) = 448
Lets's calculate GCF of 70,9817
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 448/1
Therefore the LCM of Fractions 448/70,224/9817 is 448
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 9817
List of positive integer factors of 9817 that divides 9817 without a remainder.
1,9817
Greatest Common Factor
We found the factors 70,9817 . The biggest common factor number is the GCF number.
So the greatest common factor 70,9817 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 448/70, 224/9817?
Answer: LCM of Numerators as per given numbers 448/70, 224/9817 is
LCM of Numerators i.e. for 448,224 is 448
GCF of denominators i.e. for 70,9817 is 1.
Thus, LCM of Fractions is 448.Finally, LCM of Fractions for 448/70, 224/9817 is 448.