Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 637/84, 348/111 quickly i.e. 73892 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 637/84, 348/111 is 73892.
LCM(637/84, 348/111) = 73892
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 637/84,348/111
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 637,348
Least Common Multiple of Numerators i.e. LCM of 637,348 is 221676.
GCF of Denominators means GCF of 84,111 as per the given fractions.
GCF of 84,111 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 637,348
Given numbers has no common factors except 1. So, there LCM is their product i.e 221676
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 637,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(637,348) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(637,348) x common factors =1 x 1 = 1
LCM(637,348) = ( 637 × 348 ) / 1
LCM(637,348) = 221676 / 1
LCM(637,348) = 221676
Lets's calculate GCF of 84,111
3 | 84, 111 |
28, 37 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 221676/3
Therefore the LCM of Fractions 637/84,348/111 is 73892
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 111
List of positive integer factors of 111 that divides 111 without a remainder.
1,3,37,111
Greatest Common Factor
We found the factors 84,111 . The biggest common factor number is the GCF number.
So the greatest common factor 84,111 is 3.
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 637/84, 348/111?
Answer: LCM of Numerators as per given numbers 637/84, 348/111 is
LCM of Numerators i.e. for 637,348 is 221676
GCF of denominators i.e. for 84,111 is 3.
Thus, LCM of Fractions is 73892.Finally, LCM of Fractions for 637/84, 348/111 is 73892.