Least Common Multiple of 1496/449, 1896/404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1496/449, 1896/404 quickly i.e. 354552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1496/449, 1896/404 is 354552.

LCM(1496/449, 1896/404) = 354552

LCM of 1496/449, 1896/404

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 1496/449,1896/404

Given numbers are 1496/449,1896/404

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 1496,1896

Least Common Multiple of Numerators i.e. LCM of 1496,1896 is 354552.

GCF of Denominators means GCF of 449,404 as per the given fractions.

GCF of 449,404 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1496,1896

LCM of Fractions 1496/449,1896/404 is 354552

2 1496, 1896
2 748, 948
2 374, 474
187, 237

∴ So the LCM of the given numbers is 2 x 2 x 2 x 187 x 237 = 354552

Least Common Multiple of 1496,1896 with GCF Formula

Least Common Multiple of 1496,1896 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 1496,1896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1496,1896) = 8

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

GCF(1496,1896) x common factors =8 x 1 = 8

LCM(1496,1896) = ( 1496 × 1896 ) / 8

LCM(1496,1896) = 2836416 / 8

LCM(1496,1896) = 354552


Lets's calculate GCF of 449,404

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 354552/1

Therefore the LCM of Fractions 1496/449,1896/404 is 354552

Greatest Common Factor of 449,404 By Matching Biggest Common Factor Method

Greatest Common Factor of 449,404 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 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Greatest Common Factor

We found the factors 449,404 . The biggest common factor number is the GCF number.
So the greatest common factor 449,404 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 1496/449, 1896/404

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 1496/449, 1896/404?

Answer: LCM of Numerators as per given numbers 1496/449, 1896/404 is

LCM of Numerators i.e. for 1496,1896 is 354552

GCF of denominators i.e. for 449,404 is 1.

Thus, LCM of Fractions is 354552.Finally, LCM of Fractions for 1496/449, 1896/404 is 354552.