Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/448, 21/726 quickly i.e. 840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/448, 21/726 is 840.
LCM(80/448, 21/726) = 840
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/448,21/726
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 80,21
Least Common Multiple of Numerators i.e. LCM of 80,21 is 1680.
GCF of Denominators means GCF of 448,726 as per the given fractions.
GCF of 448,726 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,21
Given numbers has no common factors except 1. So, there LCM is their product i.e 1680
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 80,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,21) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(80,21) x common factors =1 x 1 = 1
LCM(80,21) = ( 80 × 21 ) / 1
LCM(80,21) = 1680 / 1
LCM(80,21) = 1680
Lets's calculate GCF of 448,726
2 | 448, 726 |
224, 363 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1680/2
Therefore the LCM of Fractions 80/448,21/726 is 840
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
Factors of 726
List of positive integer factors of 726 that divides 726 without a remainder.
1,2,3,6,11,22,33,66,121,242,363,726
Greatest Common Factor
We found the factors 448,726 . The biggest common factor number is the GCF number.
So the greatest common factor 448,726 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 80/448, 21/726?
Answer: LCM of Numerators as per given numbers 80/448, 21/726 is
LCM of Numerators i.e. for 80,21 is 1680
GCF of denominators i.e. for 448,726 is 2.
Thus, LCM of Fractions is 840.Finally, LCM of Fractions for 80/448, 21/726 is 840.