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LCM of 877, 257, 514, 605

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


Find the LCM of 877, 257, 514, 605 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 877, 257, 514, 605. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 877,257,514,605

Given numbers are 877,257,514,605

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

The LCM of 877,257,514,605 is 272720690.

Find LCM of 877,257,514,605 with Prime Factorization


257 877, 257, 514, 605
877, 1, 2, 605

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

257 x 877 x 1 x 2 x 605 = 272720690

Therefore, the lowest common multiple of 877,257,514,605 is 272720690.

LCM Formula to Find Lowest Common Multiple of 877,257,514,605

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.

877 x 257 x 514 x 605 = 70089217330

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.

877 : 1, 877

257 : 1, 257

514 : 1, 2, 257, 514

605 : 1, 5, 11, 55, 121, 605

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 877,257,514,605, is 1.

Now, the common factors can be found like this.

877:877

257:257

514:2x 257

605:5x 11x 11

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

257 = 257

Therefore, the value for common factors is 257.

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 = 70089217330/(1x257)

LCM = 70089217330/257

LCM = 272720690

Thus, we can understand that the LCM of 877,257,514,605 is 272720690.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 877, 257, 514, 605

1. What is the LCM of 877, 257, 514, 605?

Answer: LCM of 877, 257, 514, 605 is 272720690.

2. How to calculate the LCM of 877, 257, 514, 605?

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 877, 257, 514, 605.

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}.