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LCM of 882, 504, 299, 804, 479

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


Find the LCM of 882, 504, 299, 804, 479 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, 504, 299, 804, 479. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 882,504,299,804,479

Given numbers are 882,504,299,804,479

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

The LCM of 882,504,299,804,479 is 33854007096.

Find LCM of 882,504,299,804,479 with Prime Factorization


2 882, 504, 299, 804, 479
2 441, 252, 299, 402, 479
3 441, 126, 299, 201, 479
3 147, 42, 299, 67, 479
7 49, 14, 299, 67, 479
7, 2, 299, 67, 479

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

2 x 2 x 3 x 3 x 7 x 7 x 2 x 299 x 67 x 479 = 33854007096

Therefore, the lowest common multiple of 882,504,299,804,479 is 33854007096.

LCM Formula to Find Lowest Common Multiple of 882,504,299,804,479

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 504 x 299 x 804 x 479 = 51187258729152

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

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

299 : 1, 13, 23, 299

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

479 : 1, 479

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,504,299,804,479, is 1.

Now, the common factors can be found like this.

882:2x 3x 3x 7x 7

504:2x 2x 2x 3x 3x 7

299:13x 23

804:2x 2x 3x 67

479:479

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 3x 3x 7 = 1512

Therefore, the value for common factors is 1512.

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 = 51187258729152/(1x1512)

LCM = 51187258729152/1512

LCM = 33854007096

Thus, we can understand that the LCM of 882,504,299,804,479 is 33854007096.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 882, 504, 299, 804, 479

1. What is the LCM of 882, 504, 299, 804, 479?

Answer: LCM of 882, 504, 299, 804, 479 is 33854007096.

2. How to calculate the LCM of 882, 504, 299, 804, 479?

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, 504, 299, 804, 479.

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}.