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LCM of 268, 8860, 553

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


Find the LCM of 268, 8860, 553 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 268, 8860, 553. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 268,8860,553

Given numbers are 268,8860,553

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

The LCM of 268,8860,553 is 328271860.

Find LCM of 268,8860,553 with Prime Factorization


2 268, 8860, 553
2 134, 4430, 553
67, 2215, 553

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

2 x 2 x 67 x 2215 x 553 = 328271860

Therefore, the lowest common multiple of 268,8860,553 is 328271860.

LCM Formula to Find Lowest Common Multiple of 268,8860,553

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.

268 x 8860 x 553 = 1313087440

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.

268 : 1, 2, 4, 67, 134, 268

8860 : 1, 2, 4, 5, 10, 20, 443, 886, 1772, 2215, 4430, 8860

553 : 1, 7, 79, 553

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,8860,553, is 1.

Now, the common factors can be found like this.

268:2x 2x 67

8860:2x 2x 5x 443

553:7x 79

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 = 1313087440/(1x4)

LCM = 1313087440/4

LCM = 328271860

Thus, we can understand that the LCM of 268,8860,553 is 328271860.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 268, 8860, 553

1. What is the LCM of 268, 8860, 553?

Answer: LCM of 268, 8860, 553 is 328271860.

2. How to calculate the LCM of 268, 8860, 553?

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 268, 8860, 553.

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}.