Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 672/565, 886/256, 739/933 quickly i.e. 219997344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 672/565, 886/256, 739/933 is 219997344.
LCM(672/565, 886/256, 739/933) = 219997344
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 672/565,886/256,739/933
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 672,886,739
Least Common Multiple of Numerators i.e. LCM of 672,886,739 is 219997344.
GCF of Denominators means GCF of 565,256,933 as per the given fractions.
GCF of 565,256,933 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 672,886,739
2 | 672, 886, 739 |
336, 443, 739 |
∴ So the LCM of the given numbers is 2 x 336 x 443 x 739 = 219997344
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 672,886,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(672,886,739) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(672,886,739) x common factors =1 x 2 = 2
LCM(672,886,739) = ( 672 × 886 × 739 ) / 2
LCM(672,886,739) = 439994688 / 2
LCM(672,886,739) = 219997344
Lets's calculate GCF of 565,256,933
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 219997344/1
Therefore the LCM of Fractions 672/565,886/256,739/933 is 219997344
Factors of 565
List of positive integer factors of 565 that divides 565 without a remainder.
1,5,113,565
Factors of 256
List of positive integer factors of 256 that divides 256 without a remainder.
1,2,4,8,16,32,64,128,256
Factors of 933
List of positive integer factors of 933 that divides 933 without a remainder.
1,3,311,933
Greatest Common Factor
We found the factors 565,256,933 . The biggest common factor number is the GCF number.
So the greatest common factor 565,256,933 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 672/565, 886/256, 739/933?
Answer: LCM of Numerators as per given numbers 672/565, 886/256, 739/933 is
LCM of Numerators i.e. for 672,886,739 is 219997344
GCF of denominators i.e. for 565,256,933 is 1.
Thus, LCM of Fractions is 219997344.Finally, LCM of Fractions for 672/565, 886/256, 739/933 is 219997344.