Least Common Multiple of 745/176, 2428/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 745/176, 2428/272 quickly i.e. 1808860/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 745/176, 2428/272 is 1808860/16.

LCM(745/176, 2428/272) = 1808860/16

LCM of 745/176, 2428/272

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 745/176,2428/272

Given numbers are 745/176,2428/272

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 745,2428

Least Common Multiple of Numerators i.e. LCM of 745,2428 is 1808860.

GCF of Denominators means GCF of 176,272 as per the given fractions.

GCF of 176,272 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 745,2428

LCM of Fractions 745/176,2428/272 is 1808860/16

Given numbers has no common factors except 1. So, there LCM is their product i.e 1808860

Least Common Multiple of 745,2428 with GCF Formula

Least Common Multiple of 745,2428 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 745,2428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(745,2428) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(745,2428) x common factors =1 x 1 = 1

LCM(745,2428) = ( 745 × 2428 ) / 1

LCM(745,2428) = 1808860 / 1

LCM(745,2428) = 1808860


Lets's calculate GCF of 176,272

2 176, 272
2 88, 136
2 44, 68
2 22, 34
11, 17

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1808860/16

Therefore the LCM of Fractions 745/176,2428/272 is 1808860/16

Greatest Common Factor of 176,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 176,272 By Matching Biggest Common Factor Method

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors 176,272 . The biggest common factor number is the GCF number.
So the greatest common factor 176,272 is 16.


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 745/176, 2428/272

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 745/176, 2428/272?

Answer: LCM of Numerators as per given numbers 745/176, 2428/272 is

LCM of Numerators i.e. for 745,2428 is 1808860

GCF of denominators i.e. for 176,272 is 16.

Thus, LCM of Fractions is 1808860/16.Finally, LCM of Fractions for 745/176, 2428/272 is 1808860/16.