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LCM of 630, 698, 992, 419, 337

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


Find the LCM of 630, 698, 992, 419, 337 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 630, 698, 992, 419, 337. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 630,698,992,419,337

Given numbers are 630,698,992,419,337

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

The LCM of 630,698,992,419,337 is 15398966590560.

Find LCM of 630,698,992,419,337 with Prime Factorization


2 630, 698, 992, 419, 337
315, 349, 496, 419, 337

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

2 x 315 x 349 x 496 x 419 x 337 = 15398966590560

Therefore, the lowest common multiple of 630,698,992,419,337 is 15398966590560.

LCM Formula to Find Lowest Common Multiple of 630,698,992,419,337

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.

630 x 698 x 992 x 419 x 337 = 61595866362240

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.

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

698 : 1, 2, 349, 698

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

419 : 1, 419

337 : 1, 337

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,698,992,419,337, is 1.

Now, the common factors can be found like this.

630:2x 3x 3x 5x 7

698:2x 349

992:2x 2x 2x 2x 2x 31

419:419

337:337

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 61595866362240/(1x4)

LCM = 61595866362240/4

LCM = 15398966590560

Thus, we can understand that the LCM of 630,698,992,419,337 is 15398966590560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 630, 698, 992, 419, 337

1. What is the LCM of 630, 698, 992, 419, 337?

Answer: LCM of 630, 698, 992, 419, 337 is 15398966590560.

2. How to calculate the LCM of 630, 698, 992, 419, 337?

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 630, 698, 992, 419, 337.

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}.