Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 85/530, 51/957, 457/707 quickly i.e. 116535 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 85/530, 51/957, 457/707 is 116535.
LCM(85/530, 51/957, 457/707) = 116535
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 85/530,51/957,457/707
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 85,51,457
Least Common Multiple of Numerators i.e. LCM of 85,51,457 is 116535.
GCF of Denominators means GCF of 530,957,707 as per the given fractions.
GCF of 530,957,707 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 85,51,457
17 | 85, 51, 457 |
5, 3, 457 |
∴ So the LCM of the given numbers is 17 x 5 x 3 x 457 = 116535
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 85,51,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,51,457) = 1
common factors(in case of two or more numbers have common factors) = 17
GCF(85,51,457) x common factors =1 x 17 = 17
LCM(85,51,457) = ( 85 × 51 × 457 ) / 17
LCM(85,51,457) = 1981095 / 17
LCM(85,51,457) = 116535
Lets's calculate GCF of 530,957,707
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116535/1
Therefore the LCM of Fractions 85/530,51/957,457/707 is 116535
Factors of 530
List of positive integer factors of 530 that divides 530 without a remainder.
1,2,5,10,53,106,265,530
Factors of 957
List of positive integer factors of 957 that divides 957 without a remainder.
1,3,11,29,33,87,319,957
Factors of 707
List of positive integer factors of 707 that divides 707 without a remainder.
1,7,101,707
Greatest Common Factor
We found the factors 530,957,707 . The biggest common factor number is the GCF number.
So the greatest common factor 530,957,707 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 85/530, 51/957, 457/707?
Answer: LCM of Numerators as per given numbers 85/530, 51/957, 457/707 is
LCM of Numerators i.e. for 85,51,457 is 116535
GCF of denominators i.e. for 530,957,707 is 1.
Thus, LCM of Fractions is 116535.Finally, LCM of Fractions for 85/530, 51/957, 457/707 is 116535.