Least Common Multiple of 1628/544, 8336/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1628/544, 8336/272 quickly i.e. 3392752/272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1628/544, 8336/272 is 3392752/272.

LCM(1628/544, 8336/272) = 3392752/272

LCM of 1628/544, 8336/272

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 1628/544,8336/272

Given numbers are 1628/544,8336/272

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 1628,8336

Least Common Multiple of Numerators i.e. LCM of 1628,8336 is 3392752.

GCF of Denominators means GCF of 544,272 as per the given fractions.

GCF of 544,272 is 272 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1628,8336

LCM of Fractions 1628/544,8336/272 is 3392752/272

2 1628, 8336
2 814, 4168
407, 2084

∴ So the LCM of the given numbers is 2 x 2 x 407 x 2084 = 3392752

Least Common Multiple of 1628,8336 with GCF Formula

Least Common Multiple of 1628,8336 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 1628,8336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1628,8336) = 4

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

GCF(1628,8336) x common factors =4 x 1 = 4

LCM(1628,8336) = ( 1628 × 8336 ) / 4

LCM(1628,8336) = 13571008 / 4

LCM(1628,8336) = 3392752


Lets's calculate GCF of 544,272

2 544, 272
2 272, 136
2 68, 136
2 34, 68
17 17, 34
1, 2

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 17 = 272

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3392752/272

Therefore the LCM of Fractions 1628/544,8336/272 is 3392752/272

Greatest Common Factor of 544,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 544,272 By Matching Biggest Common Factor Method

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

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 544,272 . The biggest common factor number is the GCF number.
So the greatest common factor 544,272 is 272.


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 1628/544, 8336/272

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 1628/544, 8336/272?

Answer: LCM of Numerators as per given numbers 1628/544, 8336/272 is

LCM of Numerators i.e. for 1628,8336 is 3392752

GCF of denominators i.e. for 544,272 is 272.

Thus, LCM of Fractions is 3392752/272.Finally, LCM of Fractions for 1628/544, 8336/272 is 3392752/272.