Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 37/208, 49/657, 623/321 quickly i.e. 161357 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 37/208, 49/657, 623/321 is 161357.
LCM(37/208, 49/657, 623/321) = 161357
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 37/208,49/657,623/321
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 37,49,623
Least Common Multiple of Numerators i.e. LCM of 37,49,623 is 161357.
GCF of Denominators means GCF of 208,657,321 as per the given fractions.
GCF of 208,657,321 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 37,49,623
7 | 37, 49, 623 |
37, 7, 89 |
∴ So the LCM of the given numbers is 7 x 37 x 7 x 89 = 161357
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 37,49,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,49,623) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(37,49,623) x common factors =1 x 7 = 7
LCM(37,49,623) = ( 37 × 49 × 623 ) / 7
LCM(37,49,623) = 1129499 / 7
LCM(37,49,623) = 161357
Lets's calculate GCF of 208,657,321
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 161357/1
Therefore the LCM of Fractions 37/208,49/657,623/321 is 161357
Factors of 208
List of positive integer factors of 208 that divides 208 without a remainder.
1,2,4,8,13,16,26,52,104,208
Factors of 657
List of positive integer factors of 657 that divides 657 without a remainder.
1,3,9,73,219,657
Factors of 321
List of positive integer factors of 321 that divides 321 without a remainder.
1,3,107,321
Greatest Common Factor
We found the factors 208,657,321 . The biggest common factor number is the GCF number.
So the greatest common factor 208,657,321 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 37/208, 49/657, 623/321?
Answer: LCM of Numerators as per given numbers 37/208, 49/657, 623/321 is
LCM of Numerators i.e. for 37,49,623 is 161357
GCF of denominators i.e. for 208,657,321 is 1.
Thus, LCM of Fractions is 161357.Finally, LCM of Fractions for 37/208, 49/657, 623/321 is 161357.