Least Common Multiple of 1440/162, 5748/551

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1440/162, 5748/551 quickly i.e. 689760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1440/162, 5748/551 is 689760.

LCM(1440/162, 5748/551) = 689760

LCM of 1440/162, 5748/551

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 1440/162,5748/551

Given numbers are 1440/162,5748/551

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 1440,5748

Least Common Multiple of Numerators i.e. LCM of 1440,5748 is 689760.

GCF of Denominators means GCF of 162,551 as per the given fractions.

GCF of 162,551 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1440,5748

LCM of Fractions 1440/162,5748/551 is 689760

2 1440, 5748
2 720, 2874
3 360, 1437
120, 479

∴ So the LCM of the given numbers is 2 x 2 x 3 x 120 x 479 = 689760

Least Common Multiple of 1440,5748 with GCF Formula

Least Common Multiple of 1440,5748 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 1440,5748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1440,5748) = 12

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

GCF(1440,5748) x common factors =12 x 1 = 12

LCM(1440,5748) = ( 1440 × 5748 ) / 12

LCM(1440,5748) = 8277120 / 12

LCM(1440,5748) = 689760


Lets's calculate GCF of 162,551

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 689760/1

Therefore the LCM of Fractions 1440/162,5748/551 is 689760

Greatest Common Factor of 162,551 By Matching Biggest Common Factor Method

Greatest Common Factor of 162,551 By Matching Biggest Common Factor Method

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1,19,29,551

Greatest Common Factor

We found the factors 162,551 . The biggest common factor number is the GCF number.
So the greatest common factor 162,551 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 1440/162, 5748/551

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 1440/162, 5748/551?

Answer: LCM of Numerators as per given numbers 1440/162, 5748/551 is

LCM of Numerators i.e. for 1440,5748 is 689760

GCF of denominators i.e. for 162,551 is 1.

Thus, LCM of Fractions is 689760.Finally, LCM of Fractions for 1440/162, 5748/551 is 689760.