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LCM of 281, 562, 421, 545, 518

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


Find the LCM of 281, 562, 421, 545, 518 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 281, 562, 421, 545, 518. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 281,562,421,545,518

Given numbers are 281,562,421,545,518

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

The LCM of 281,562,421,545,518 is 33397555310.

Find LCM of 281,562,421,545,518 with Prime Factorization


2 281, 562, 421, 545, 518
281 281, 281, 421, 545, 259
1, 1, 421, 545, 259

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

2 x 281 x 1 x 1 x 421 x 545 x 259 = 33397555310

Therefore, the lowest common multiple of 281,562,421,545,518 is 33397555310.

LCM Formula to Find Lowest Common Multiple of 281,562,421,545,518

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.

281 x 562 x 421 x 545 x 518 = 18769426084220

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.

281 : 1, 281

562 : 1, 2, 281, 562

421 : 1, 421

545 : 1, 5, 109, 545

518 : 1, 2, 7, 14, 37, 74, 259, 518

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 281,562,421,545,518, is 1.

Now, the common factors can be found like this.

281:281

562:2x 281

421:421

545:5x 109

518:2x 7x 37

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

2x 281 = 562

Therefore, the value for common factors is 562.

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 = 18769426084220/(1x562)

LCM = 18769426084220/562

LCM = 33397555310

Thus, we can understand that the LCM of 281,562,421,545,518 is 33397555310.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 281, 562, 421, 545, 518

1. What is the LCM of 281, 562, 421, 545, 518?

Answer: LCM of 281, 562, 421, 545, 518 is 33397555310.

2. How to calculate the LCM of 281, 562, 421, 545, 518?

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 281, 562, 421, 545, 518.

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}.