Least Common Multiple of 1440/126, 3560/454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1440/126, 3560/454 quickly i.e. 64080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1440/126, 3560/454 is 64080.

LCM(1440/126, 3560/454) = 64080

LCM of 1440/126, 3560/454

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 1440/126,3560/454

Given numbers are 1440/126,3560/454

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 1440,3560

Least Common Multiple of Numerators i.e. LCM of 1440,3560 is 128160.

GCF of Denominators means GCF of 126,454 as per the given fractions.

GCF of 126,454 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1440,3560

LCM of Fractions 1440/126,3560/454 is 64080

2 1440, 3560
2 720, 1780
2 360, 890
5 180, 445
36, 89

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 36 x 89 = 128160

Least Common Multiple of 1440,3560 with GCF Formula

Least Common Multiple of 1440,3560 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 1440,3560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1440,3560) = 40

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

GCF(1440,3560) x common factors =40 x 1 = 40

LCM(1440,3560) = ( 1440 × 3560 ) / 40

LCM(1440,3560) = 5126400 / 40

LCM(1440,3560) = 128160


Lets's calculate GCF of 126,454

2 126, 454
63, 227

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 128160/2

Therefore the LCM of Fractions 1440/126,3560/454 is 64080

Greatest Common Factor of 126,454 By Matching Biggest Common Factor Method

Greatest Common Factor of 126,454 By Matching Biggest Common Factor Method

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Greatest Common Factor

We found the factors 126,454 . The biggest common factor number is the GCF number.
So the greatest common factor 126,454 is 2.


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 1440/126, 3560/454

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 1440/126, 3560/454?

Answer: LCM of Numerators as per given numbers 1440/126, 3560/454 is

LCM of Numerators i.e. for 1440,3560 is 128160

GCF of denominators i.e. for 126,454 is 2.

Thus, LCM of Fractions is 64080.Finally, LCM of Fractions for 1440/126, 3560/454 is 64080.