Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 245/228, 735/165 quickly i.e. 245 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 245/228, 735/165 is 245.
LCM(245/228, 735/165) = 245
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 245/228,735/165
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 245,735
Least Common Multiple of Numerators i.e. LCM of 245,735 is 735.
GCF of Denominators means GCF of 228,165 as per the given fractions.
GCF of 228,165 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 245,735
5 | 245, 735 |
7 | 49, 147 |
7 | 7, 21 |
1, 3 |
∴ So the LCM of the given numbers is 5 x 7 x 7 x 1 x 3 = 735
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 245,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(245,735) = 245
common factors(in case of two or more numbers have common factors) = 1
GCF(245,735) x common factors =245 x 1 = 245
LCM(245,735) = ( 245 × 735 ) / 245
LCM(245,735) = 180075 / 245
LCM(245,735) = 735
Lets's calculate GCF of 228,165
3 | 228, 165 |
76, 55 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 735/3
Therefore the LCM of Fractions 245/228,735/165 is 245
Factors of 228
List of positive integer factors of 228 that divides 228 without a remainder.
1,2,3,4,6,12,19,38,57,76,114,228
Factors of 165
List of positive integer factors of 165 that divides 165 without a remainder.
1,3,5,11,15,33,55,165
Greatest Common Factor
We found the factors 228,165 . The biggest common factor number is the GCF number.
So the greatest common factor 228,165 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 245/228, 735/165?
Answer: LCM of Numerators as per given numbers 245/228, 735/165 is
LCM of Numerators i.e. for 245,735 is 735
GCF of denominators i.e. for 228,165 is 3.
Thus, LCM of Fractions is 245.Finally, LCM of Fractions for 245/228, 735/165 is 245.