Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 37/574, 490/20, 546/852 quickly i.e. 353535 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 37/574, 490/20, 546/852 is 353535.
LCM(37/574, 490/20, 546/852) = 353535
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 37/574,490/20,546/852
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 37,490,546
Least Common Multiple of Numerators i.e. LCM of 37,490,546 is 707070.
GCF of Denominators means GCF of 574,20,852 as per the given fractions.
GCF of 574,20,852 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 37,490,546
2 | 37, 490, 546 |
7 | 37, 245, 273 |
37, 35, 39 |
∴ So the LCM of the given numbers is 2 x 7 x 37 x 35 x 39 = 707070
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 37,490,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,490,546) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(37,490,546) x common factors =1 x 14 = 14
LCM(37,490,546) = ( 37 × 490 × 546 ) / 14
LCM(37,490,546) = 9898980 / 14
LCM(37,490,546) = 707070
Lets's calculate GCF of 574,20,852
2 | 574, 20, 852 |
287, 10, 426 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 707070/2
Therefore the LCM of Fractions 37/574,490/20,546/852 is 353535
Factors of 574
List of positive integer factors of 574 that divides 574 without a remainder.
1,2,7,14,41,82,287,574
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 852
List of positive integer factors of 852 that divides 852 without a remainder.
1,2,3,4,6,12,71,142,213,284,426,852
Greatest Common Factor
We found the factors 574,20,852 . The biggest common factor number is the GCF number.
So the greatest common factor 574,20,852 is 2.
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 37/574, 490/20, 546/852?
Answer: LCM of Numerators as per given numbers 37/574, 490/20, 546/852 is
LCM of Numerators i.e. for 37,490,546 is 707070
GCF of denominators i.e. for 574,20,852 is 2.
Thus, LCM of Fractions is 353535.Finally, LCM of Fractions for 37/574, 490/20, 546/852 is 353535.