Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 52/68, 37/43, 70/82, 53/420 quickly i.e. 3569020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 52/68, 37/43, 70/82, 53/420 is 3569020.
LCM(52/68, 37/43, 70/82, 53/420) = 3569020
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 52/68,37/43,70/82,53/420
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 52,37,70,53
Least Common Multiple of Numerators i.e. LCM of 52,37,70,53 is 3569020.
GCF of Denominators means GCF of 68,43,82,420 as per the given fractions.
GCF of 68,43,82,420 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 52,37,70,53
2 | 52, 37, 70, 53 |
26, 37, 35, 53 |
∴ So the LCM of the given numbers is 2 x 26 x 37 x 35 x 53 = 3569020
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 52,37,70,53 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,37,70,53) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(52,37,70,53) x common factors =1 x 2 = 2
LCM(52,37,70,53) = ( 52 × 37 × 70 × 53 ) / 2
LCM(52,37,70,53) = 7138040 / 2
LCM(52,37,70,53) = 3569020
Lets's calculate GCF of 68,43,82,420
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3569020/1
Therefore the LCM of Fractions 52/68,37/43,70/82,53/420 is 3569020
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 420
List of positive integer factors of 420 that divides 420 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Greatest Common Factor
We found the factors 68,43,82,420 . The biggest common factor number is the GCF number.
So the greatest common factor 68,43,82,420 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 52/68, 37/43, 70/82, 53/420?
Answer: LCM of Numerators as per given numbers 52/68, 37/43, 70/82, 53/420 is
LCM of Numerators i.e. for 52,37,70,53 is 3569020
GCF of denominators i.e. for 68,43,82,420 is 1.
Thus, LCM of Fractions is 3569020.Finally, LCM of Fractions for 52/68, 37/43, 70/82, 53/420 is 3569020.