Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 56/343, 25/583, 720/210 quickly i.e. 25200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 56/343, 25/583, 720/210 is 25200.
LCM(56/343, 25/583, 720/210) = 25200
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 56/343,25/583,720/210
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 56,25,720
Least Common Multiple of Numerators i.e. LCM of 56,25,720 is 25200.
GCF of Denominators means GCF of 343,583,210 as per the given fractions.
GCF of 343,583,210 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 56,25,720
2 | 56, 25, 720 |
2 | 28, 25, 360 |
2 | 14, 25, 180 |
5 | 7, 25, 90 |
7, 5, 18 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 7 x 5 x 18 = 25200
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 56,25,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,25,720) = 1
common factors(in case of two or more numbers have common factors) = 40
GCF(56,25,720) x common factors =1 x 40 = 40
LCM(56,25,720) = ( 56 × 25 × 720 ) / 40
LCM(56,25,720) = 1008000 / 40
LCM(56,25,720) = 25200
Lets's calculate GCF of 343,583,210
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25200/1
Therefore the LCM of Fractions 56/343,25/583,720/210 is 25200
Factors of 343
List of positive integer factors of 343 that divides 343 without a remainder.
1,7,49,343
Factors of 583
List of positive integer factors of 583 that divides 583 without a remainder.
1,11,53,583
Factors of 210
List of positive integer factors of 210 that divides 210 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Greatest Common Factor
We found the factors 343,583,210 . The biggest common factor number is the GCF number.
So the greatest common factor 343,583,210 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 56/343, 25/583, 720/210?
Answer: LCM of Numerators as per given numbers 56/343, 25/583, 720/210 is
LCM of Numerators i.e. for 56,25,720 is 25200
GCF of denominators i.e. for 343,583,210 is 1.
Thus, LCM of Fractions is 25200.Finally, LCM of Fractions for 56/343, 25/583, 720/210 is 25200.