Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 56/832, 86/382, 617/271 quickly i.e. 1485736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 56/832, 86/382, 617/271 is 1485736.
LCM(56/832, 86/382, 617/271) = 1485736
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 56/832,86/382,617/271
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 56,86,617
Least Common Multiple of Numerators i.e. LCM of 56,86,617 is 1485736.
GCF of Denominators means GCF of 832,382,271 as per the given fractions.
GCF of 832,382,271 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 56,86,617
2 | 56, 86, 617 |
28, 43, 617 |
∴ So the LCM of the given numbers is 2 x 28 x 43 x 617 = 1485736
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 56,86,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,86,617) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(56,86,617) x common factors =1 x 2 = 2
LCM(56,86,617) = ( 56 × 86 × 617 ) / 2
LCM(56,86,617) = 2971472 / 2
LCM(56,86,617) = 1485736
Lets's calculate GCF of 832,382,271
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1485736/1
Therefore the LCM of Fractions 56/832,86/382,617/271 is 1485736
Factors of 832
List of positive integer factors of 832 that divides 832 without a remainder.
1,2,4,8,13,16,26,32,52,64,104,208,416,832
Factors of 382
List of positive integer factors of 382 that divides 382 without a remainder.
1,2,191,382
Factors of 271
List of positive integer factors of 271 that divides 271 without a remainder.
1,271
Greatest Common Factor
We found the factors 832,382,271 . The biggest common factor number is the GCF number.
So the greatest common factor 832,382,271 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 56/832, 86/382, 617/271?
Answer: LCM of Numerators as per given numbers 56/832, 86/382, 617/271 is
LCM of Numerators i.e. for 56,86,617 is 1485736
GCF of denominators i.e. for 832,382,271 is 1.
Thus, LCM of Fractions is 1485736.Finally, LCM of Fractions for 56/832, 86/382, 617/271 is 1485736.