Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/857, 40/580, 707/710 quickly i.e. 1498840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/857, 40/580, 707/710 is 1498840.
LCM(53/857, 40/580, 707/710) = 1498840
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/857,40/580,707/710
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 53,40,707
Least Common Multiple of Numerators i.e. LCM of 53,40,707 is 1498840.
GCF of Denominators means GCF of 857,580,710 as per the given fractions.
GCF of 857,580,710 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,40,707
Given numbers has no common factors except 1. So, there LCM is their product i.e 1498840
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 53,40,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,40,707) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,40,707) x common factors =1 x 1 = 1
LCM(53,40,707) = ( 53 × 40 × 707 ) / 1
LCM(53,40,707) = 1498840 / 1
LCM(53,40,707) = 1498840
Lets's calculate GCF of 857,580,710
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1498840/1
Therefore the LCM of Fractions 53/857,40/580,707/710 is 1498840
Factors of 857
List of positive integer factors of 857 that divides 857 without a remainder.
1,857
Factors of 580
List of positive integer factors of 580 that divides 580 without a remainder.
1,2,4,5,10,20,29,58,116,145,290,580
Factors of 710
List of positive integer factors of 710 that divides 710 without a remainder.
1,2,5,10,71,142,355,710
Greatest Common Factor
We found the factors 857,580,710 . The biggest common factor number is the GCF number.
So the greatest common factor 857,580,710 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 53/857, 40/580, 707/710?
Answer: LCM of Numerators as per given numbers 53/857, 40/580, 707/710 is
LCM of Numerators i.e. for 53,40,707 is 1498840
GCF of denominators i.e. for 857,580,710 is 1.
Thus, LCM of Fractions is 1498840.Finally, LCM of Fractions for 53/857, 40/580, 707/710 is 1498840.