Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1859/446, 3351/358 quickly i.e. 6229509/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1859/446, 3351/358 is 6229509/2.
LCM(1859/446, 3351/358) = 6229509/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1859/446,3351/358
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 1859,3351
Least Common Multiple of Numerators i.e. LCM of 1859,3351 is 6229509.
GCF of Denominators means GCF of 446,358 as per the given fractions.
GCF of 446,358 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1859,3351
Given numbers has no common factors except 1. So, there LCM is their product i.e 6229509
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 1859,3351 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1859,3351) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1859,3351) x common factors =1 x 1 = 1
LCM(1859,3351) = ( 1859 × 3351 ) / 1
LCM(1859,3351) = 6229509 / 1
LCM(1859,3351) = 6229509
Lets's calculate GCF of 446,358
2 | 446, 358 |
223, 179 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6229509/2
Therefore the LCM of Fractions 1859/446,3351/358 is 6229509/2
Factors of 446
List of positive integer factors of 446 that divides 446 without a remainder.
1,2,223,446
Factors of 358
List of positive integer factors of 358 that divides 358 without a remainder.
1,2,179,358
Greatest Common Factor
We found the factors 446,358 . The biggest common factor number is the GCF number.
So the greatest common factor 446,358 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 1859/446, 3351/358?
Answer: LCM of Numerators as per given numbers 1859/446, 3351/358 is
LCM of Numerators i.e. for 1859,3351 is 6229509
GCF of denominators i.e. for 446,358 is 2.
Thus, LCM of Fractions is 6229509/2.Finally, LCM of Fractions for 1859/446, 3351/358 is 6229509/2.