Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 61/706, 43/486, 725/928 quickly i.e. 1901675/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 61/706, 43/486, 725/928 is 1901675/2.
LCM(61/706, 43/486, 725/928) = 1901675/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 61/706,43/486,725/928
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 61,43,725
Least Common Multiple of Numerators i.e. LCM of 61,43,725 is 1901675.
GCF of Denominators means GCF of 706,486,928 as per the given fractions.
GCF of 706,486,928 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 61,43,725
Given numbers has no common factors except 1. So, there LCM is their product i.e 1901675
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 61,43,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,43,725) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,43,725) x common factors =1 x 1 = 1
LCM(61,43,725) = ( 61 × 43 × 725 ) / 1
LCM(61,43,725) = 1901675 / 1
LCM(61,43,725) = 1901675
Lets's calculate GCF of 706,486,928
2 | 706, 486, 928 |
353, 243, 464 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1901675/2
Therefore the LCM of Fractions 61/706,43/486,725/928 is 1901675/2
Factors of 706
List of positive integer factors of 706 that divides 706 without a remainder.
1,2,353,706
Factors of 486
List of positive integer factors of 486 that divides 486 without a remainder.
1,2,3,6,9,18,27,54,81,162,243,486
Factors of 928
List of positive integer factors of 928 that divides 928 without a remainder.
1,2,4,8,16,29,32,58,116,232,464,928
Greatest Common Factor
We found the factors 706,486,928 . The biggest common factor number is the GCF number.
So the greatest common factor 706,486,928 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 61/706, 43/486, 725/928?
Answer: LCM of Numerators as per given numbers 61/706, 43/486, 725/928 is
LCM of Numerators i.e. for 61,43,725 is 1901675
GCF of denominators i.e. for 706,486,928 is 2.
Thus, LCM of Fractions is 1901675/2.Finally, LCM of Fractions for 61/706, 43/486, 725/928 is 1901675/2.