Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3320/550, 4451/746 quickly i.e. 7388660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3320/550, 4451/746 is 7388660.
LCM(3320/550, 4451/746) = 7388660
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3320/550,4451/746
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 3320,4451
Least Common Multiple of Numerators i.e. LCM of 3320,4451 is 14777320.
GCF of Denominators means GCF of 550,746 as per the given fractions.
GCF of 550,746 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3320,4451
Given numbers has no common factors except 1. So, there LCM is their product i.e 14777320
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 3320,4451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3320,4451) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3320,4451) x common factors =1 x 1 = 1
LCM(3320,4451) = ( 3320 × 4451 ) / 1
LCM(3320,4451) = 14777320 / 1
LCM(3320,4451) = 14777320
Lets's calculate GCF of 550,746
2 | 550, 746 |
275, 373 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14777320/2
Therefore the LCM of Fractions 3320/550,4451/746 is 7388660
Factors of 550
List of positive integer factors of 550 that divides 550 without a remainder.
1,2,5,10,11,22,25,50,55,110,275,550
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 550,746 . The biggest common factor number is the GCF number.
So the greatest common factor 550,746 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 3320/550, 4451/746?
Answer: LCM of Numerators as per given numbers 3320/550, 4451/746 is
LCM of Numerators i.e. for 3320,4451 is 14777320
GCF of denominators i.e. for 550,746 is 2.
Thus, LCM of Fractions is 7388660.Finally, LCM of Fractions for 3320/550, 4451/746 is 7388660.