Least Common Multiple of 1449/160, 9462/2816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1449/160, 9462/2816 quickly i.e. 4570146/32 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1449/160, 9462/2816 is 4570146/32.

LCM(1449/160, 9462/2816) = 4570146/32

LCM of 1449/160, 9462/2816

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 1449/160,9462/2816

Given numbers are 1449/160,9462/2816

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 1449,9462

Least Common Multiple of Numerators i.e. LCM of 1449,9462 is 4570146.

GCF of Denominators means GCF of 160,2816 as per the given fractions.

GCF of 160,2816 is 32 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1449,9462

LCM of Fractions 1449/160,9462/2816 is 4570146/32

3 1449, 9462
483, 3154

∴ So the LCM of the given numbers is 3 x 483 x 3154 = 4570146

Least Common Multiple of 1449,9462 with GCF Formula

Least Common Multiple of 1449,9462 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 1449,9462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1449,9462) = 3

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

GCF(1449,9462) x common factors =3 x 1 = 3

LCM(1449,9462) = ( 1449 × 9462 ) / 3

LCM(1449,9462) = 13710438 / 3

LCM(1449,9462) = 4570146


Lets's calculate GCF of 160,2816

2 160, 2816
2 80, 1408
2 40, 704
2 20, 352
2 10, 176
5, 88

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4570146/32

Therefore the LCM of Fractions 1449/160,9462/2816 is 4570146/32

Greatest Common Factor of 160,2816 By Matching Biggest Common Factor Method

Greatest Common Factor of 160,2816 By Matching Biggest Common Factor Method

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 2816

List of positive integer factors of 2816 that divides 2816 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,128,176,256,352,704,1408,2816

Greatest Common Factor

We found the factors 160,2816 . The biggest common factor number is the GCF number.
So the greatest common factor 160,2816 is 32.


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 1449/160, 9462/2816

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 1449/160, 9462/2816?

Answer: LCM of Numerators as per given numbers 1449/160, 9462/2816 is

LCM of Numerators i.e. for 1449,9462 is 4570146

GCF of denominators i.e. for 160,2816 is 32.

Thus, LCM of Fractions is 4570146/32.Finally, LCM of Fractions for 1449/160, 9462/2816 is 4570146/32.