Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 37/363, 643/142, 281/495 quickly i.e. 6685271 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 37/363, 643/142, 281/495 is 6685271.
LCM(37/363, 643/142, 281/495) = 6685271
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 37/363,643/142,281/495
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 37,643,281
Least Common Multiple of Numerators i.e. LCM of 37,643,281 is 6685271.
GCF of Denominators means GCF of 363,142,495 as per the given fractions.
GCF of 363,142,495 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 37,643,281
Given numbers has no common factors except 1. So, there LCM is their product i.e 6685271
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 37,643,281 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,643,281) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,643,281) x common factors =1 x 1 = 1
LCM(37,643,281) = ( 37 × 643 × 281 ) / 1
LCM(37,643,281) = 6685271 / 1
LCM(37,643,281) = 6685271
Lets's calculate GCF of 363,142,495
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6685271/1
Therefore the LCM of Fractions 37/363,643/142,281/495 is 6685271
Factors of 363
List of positive integer factors of 363 that divides 363 without a remainder.
1,3,11,33,121,363
Factors of 142
List of positive integer factors of 142 that divides 142 without a remainder.
1,2,71,142
Factors of 495
List of positive integer factors of 495 that divides 495 without a remainder.
1,3,5,9,11,15,33,45,55,99,165,495
Greatest Common Factor
We found the factors 363,142,495 . The biggest common factor number is the GCF number.
So the greatest common factor 363,142,495 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 37/363, 643/142, 281/495?
Answer: LCM of Numerators as per given numbers 37/363, 643/142, 281/495 is
LCM of Numerators i.e. for 37,643,281 is 6685271
GCF of denominators i.e. for 363,142,495 is 1.
Thus, LCM of Fractions is 6685271.Finally, LCM of Fractions for 37/363, 643/142, 281/495 is 6685271.