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LCM of 882, 391, 276, 704, 893

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


Find the LCM of 882, 391, 276, 704, 893 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, 391, 276, 704, 893. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 882,391,276,704,893

Given numbers are 882,391,276,704,893

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

The LCM of 882,391,276,704,893 is 108402541632.

Find LCM of 882,391,276,704,893 with Prime Factorization


2 882, 391, 276, 704, 893
2 441, 391, 138, 352, 893
3 441, 391, 69, 176, 893
23 147, 391, 23, 176, 893
147, 17, 1, 176, 893

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

2 x 2 x 3 x 23 x 147 x 17 x 1 x 176 x 893 = 108402541632

Therefore, the lowest common multiple of 882,391,276,704,893 is 108402541632.

LCM Formula to Find Lowest Common Multiple of 882,391,276,704,893

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 391 x 276 x 704 x 893 = 59838202980864

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

391 : 1, 17, 23, 391

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

893 : 1, 19, 47, 893

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,391,276,704,893, is 1.

Now, the common factors can be found like this.

882:2x 3x 3x 7x 7

391:17x 23

276:2x 2x 3x 23

704:2x 2x 2x 2x 2x 2x 11

893:19x 47

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 3x 23 = 552

Therefore, the value for common factors is 552.

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 = 59838202980864/(1x552)

LCM = 59838202980864/552

LCM = 108402541632

Thus, we can understand that the LCM of 882,391,276,704,893 is 108402541632.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 882, 391, 276, 704, 893

1. What is the LCM of 882, 391, 276, 704, 893?

Answer: LCM of 882, 391, 276, 704, 893 is 108402541632.

2. How to calculate the LCM of 882, 391, 276, 704, 893?

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, 391, 276, 704, 893.

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}.