Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 721/651, 150/354, 694/809 quickly i.e. 37528050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 721/651, 150/354, 694/809 is 37528050.
LCM(721/651, 150/354, 694/809) = 37528050
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 721/651,150/354,694/809
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 721,150,694
Least Common Multiple of Numerators i.e. LCM of 721,150,694 is 37528050.
GCF of Denominators means GCF of 651,354,809 as per the given fractions.
GCF of 651,354,809 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 721,150,694
2 | 721, 150, 694 |
721, 75, 347 |
∴ So the LCM of the given numbers is 2 x 721 x 75 x 347 = 37528050
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 721,150,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(721,150,694) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(721,150,694) x common factors =1 x 2 = 2
LCM(721,150,694) = ( 721 × 150 × 694 ) / 2
LCM(721,150,694) = 75056100 / 2
LCM(721,150,694) = 37528050
Lets's calculate GCF of 651,354,809
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37528050/1
Therefore the LCM of Fractions 721/651,150/354,694/809 is 37528050
Factors of 651
List of positive integer factors of 651 that divides 651 without a remainder.
1,3,7,21,31,93,217,651
Factors of 354
List of positive integer factors of 354 that divides 354 without a remainder.
1,2,3,6,59,118,177,354
Factors of 809
List of positive integer factors of 809 that divides 809 without a remainder.
1,809
Greatest Common Factor
We found the factors 651,354,809 . The biggest common factor number is the GCF number.
So the greatest common factor 651,354,809 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 721/651, 150/354, 694/809?
Answer: LCM of Numerators as per given numbers 721/651, 150/354, 694/809 is
LCM of Numerators i.e. for 721,150,694 is 37528050
GCF of denominators i.e. for 651,354,809 is 1.
Thus, LCM of Fractions is 37528050.Finally, LCM of Fractions for 721/651, 150/354, 694/809 is 37528050.