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LCM of 443, 498, 680

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 443, 498, 680 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 443, 498, 680. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 443,498,680

Given numbers are 443,498,680

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 443,498,680 is 75008760.

Find LCM of 443,498,680 with Prime Factorization


2 443, 498, 680
443, 249, 340

Multiply the prime numbers at the bottom and the left side.

2 x 443 x 249 x 340 = 75008760

Therefore, the lowest common multiple of 443,498,680 is 75008760.

LCM Formula to Find Lowest Common Multiple of 443,498,680

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

443 x 498 x 680 = 150017520

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

443 : 1, 443

498 : 1, 2, 3, 6, 83, 166, 249, 498

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 443,498,680, is 1.

Now, the common factors can be found like this.

443:443

498:2x 3x 83

680:2x 2x 2x 5x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 150017520/(1x2)

LCM = 150017520/2

LCM = 75008760

Thus, we can understand that the LCM of 443,498,680 is 75008760.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 443, 498, 680

1. What is the LCM of 443, 498, 680?

Answer: LCM of 443, 498, 680 is 75008760.

2. How to calculate the LCM of 443, 498, 680?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 443, 498, 680.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.