Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 438/409, 428/749, 661/785 quickly i.e. 61956852 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 438/409, 428/749, 661/785 is 61956852.
LCM(438/409, 428/749, 661/785) = 61956852
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 438/409,428/749,661/785
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 438,428,661
Least Common Multiple of Numerators i.e. LCM of 438,428,661 is 61956852.
GCF of Denominators means GCF of 409,749,785 as per the given fractions.
GCF of 409,749,785 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 438,428,661
2 | 438, 428, 661 |
219, 214, 661 |
∴ So the LCM of the given numbers is 2 x 219 x 214 x 661 = 61956852
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 438,428,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,428,661) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(438,428,661) x common factors =1 x 2 = 2
LCM(438,428,661) = ( 438 × 428 × 661 ) / 2
LCM(438,428,661) = 123913704 / 2
LCM(438,428,661) = 61956852
Lets's calculate GCF of 409,749,785
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61956852/1
Therefore the LCM of Fractions 438/409,428/749,661/785 is 61956852
Factors of 409
List of positive integer factors of 409 that divides 409 without a remainder.
1,409
Factors of 749
List of positive integer factors of 749 that divides 749 without a remainder.
1,7,107,749
Factors of 785
List of positive integer factors of 785 that divides 785 without a remainder.
1,5,157,785
Greatest Common Factor
We found the factors 409,749,785 . The biggest common factor number is the GCF number.
So the greatest common factor 409,749,785 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 438/409, 428/749, 661/785?
Answer: LCM of Numerators as per given numbers 438/409, 428/749, 661/785 is
LCM of Numerators i.e. for 438,428,661 is 61956852
GCF of denominators i.e. for 409,749,785 is 1.
Thus, LCM of Fractions is 61956852.Finally, LCM of Fractions for 438/409, 428/749, 661/785 is 61956852.