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LCM of 882, 322, 518, 527, 230

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


Find the LCM of 882, 322, 518, 527, 230 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 882, 322, 518, 527, 230. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 882,322,518,527,230

Given numbers are 882,322,518,527,230

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

The LCM of 882,322,518,527,230 is 1977783570.

Find LCM of 882,322,518,527,230 with Prime Factorization


2 882, 322, 518, 527, 230
7 441, 161, 259, 527, 115
23 63, 23, 37, 527, 115
63, 1, 37, 527, 5

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

2 x 7 x 23 x 63 x 1 x 37 x 527 x 5 = 1977783570

Therefore, the lowest common multiple of 882,322,518,527,230 is 1977783570.

LCM Formula to Find Lowest Common Multiple of 882,322,518,527,230

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.

882 x 322 x 518 x 527 x 230 = 17831696667120

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.

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

322 : 1, 2, 7, 14, 23, 46, 161, 322

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

527 : 1, 17, 31, 527

230 : 1, 2, 5, 10, 23, 46, 115, 230

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,322,518,527,230, is 1.

Now, the common factors can be found like this.

882:2x 3x 3x 7x 7

322:2x 7x 23

518:2x 7x 37

527:17x 31

230:2x 5x 23

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

2x 2x 2x 7x 7x 23 = 9016

Therefore, the value for common factors is 9016.

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 = 17831696667120/(1x9016)

LCM = 17831696667120/9016

LCM = 1977783570

Thus, we can understand that the LCM of 882,322,518,527,230 is 1977783570.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 882, 322, 518, 527, 230

1. What is the LCM of 882, 322, 518, 527, 230?

Answer: LCM of 882, 322, 518, 527, 230 is 1977783570.

2. How to calculate the LCM of 882, 322, 518, 527, 230?

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 882, 322, 518, 527, 230.

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}.