Least Common Multiple of 245/228, 735/165

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

LCM of 245/228, 735/165

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 245/228,735/165

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

LCM of Fractions 245/228,735/165 is 245

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

Least Common Multiple of 245,735 with GCF Formula

Least Common Multiple of 245,735 with GCF Formula

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

Greatest Common Factor of 228,165 By Matching Biggest Common Factor Method

Greatest Common Factor of 228,165 By Matching Biggest Common Factor Method

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.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 245/228, 735/165

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.