Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 234/637, 366/832 quickly i.e. 1098 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 234/637, 366/832 is 1098.
LCM(234/637, 366/832) = 1098
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 234/637,366/832
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 234,366
Least Common Multiple of Numerators i.e. LCM of 234,366 is 14274.
GCF of Denominators means GCF of 637,832 as per the given fractions.
GCF of 637,832 is 13 as it is the largest common factor for these numbers.
Lets's calculate LCM of 234,366
2 | 234, 366 |
3 | 117, 183 |
39, 61 |
∴ So the LCM of the given numbers is 2 x 3 x 39 x 61 = 14274
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 234,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(234,366) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(234,366) x common factors =6 x 1 = 6
LCM(234,366) = ( 234 × 366 ) / 6
LCM(234,366) = 85644 / 6
LCM(234,366) = 14274
Lets's calculate GCF of 637,832
13 | 637, 832 |
49, 64 |
∴ So the GCF of the given numbers is 13 = 13
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14274/13
Therefore the LCM of Fractions 234/637,366/832 is 1098
Factors of 637
List of positive integer factors of 637 that divides 637 without a remainder.
1,7,13,49,91,637
Factors of 832
List of positive integer factors of 832 that divides 832 without a remainder.
1,2,4,8,13,16,26,32,52,64,104,208,416,832
Greatest Common Factor
We found the factors 637,832 . The biggest common factor number is the GCF number.
So the greatest common factor 637,832 is 13.
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 234/637, 366/832?
Answer: LCM of Numerators as per given numbers 234/637, 366/832 is
LCM of Numerators i.e. for 234,366 is 14274
GCF of denominators i.e. for 637,832 is 13.
Thus, LCM of Fractions is 1098.Finally, LCM of Fractions for 234/637, 366/832 is 1098.