Least Common Multiple of 1748/449, 2384/2226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1748/449, 2384/2226 quickly i.e. 1041808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1748/449, 2384/2226 is 1041808.

LCM(1748/449, 2384/2226) = 1041808

LCM of 1748/449, 2384/2226

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 1748/449,2384/2226

Given numbers are 1748/449,2384/2226

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 1748,2384

Least Common Multiple of Numerators i.e. LCM of 1748,2384 is 1041808.

GCF of Denominators means GCF of 449,2226 as per the given fractions.

GCF of 449,2226 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1748,2384

LCM of Fractions 1748/449,2384/2226 is 1041808

2 1748, 2384
2 874, 1192
437, 596

∴ So the LCM of the given numbers is 2 x 2 x 437 x 596 = 1041808

Least Common Multiple of 1748,2384 with GCF Formula

Least Common Multiple of 1748,2384 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 1748,2384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1748,2384) = 4

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

GCF(1748,2384) x common factors =4 x 1 = 4

LCM(1748,2384) = ( 1748 × 2384 ) / 4

LCM(1748,2384) = 4167232 / 4

LCM(1748,2384) = 1041808


Lets's calculate GCF of 449,2226

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1041808/1

Therefore the LCM of Fractions 1748/449,2384/2226 is 1041808

Greatest Common Factor of 449,2226 By Matching Biggest Common Factor Method

Greatest Common Factor of 449,2226 By Matching Biggest Common Factor Method

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Factors of 2226

List of positive integer factors of 2226 that divides 2226 without a remainder.

1,2,3,6,7,14,21,42,53,106,159,318,371,742,1113,2226

Greatest Common Factor

We found the factors 449,2226 . The biggest common factor number is the GCF number.
So the greatest common factor 449,2226 is 1.


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 1748/449, 2384/2226

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 1748/449, 2384/2226?

Answer: LCM of Numerators as per given numbers 1748/449, 2384/2226 is

LCM of Numerators i.e. for 1748,2384 is 1041808

GCF of denominators i.e. for 449,2226 is 1.

Thus, LCM of Fractions is 1041808.Finally, LCM of Fractions for 1748/449, 2384/2226 is 1041808.