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LCM of 801, 889, 334, 520, 429

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


Find the LCM of 801, 889, 334, 520, 429 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 801, 889, 334, 520, 429. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 801,889,334,520,429

Given numbers are 801,889,334,520,429

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

The LCM of 801,889,334,520,429 is 680215896360.

Find LCM of 801,889,334,520,429 with Prime Factorization


2 801, 889, 334, 520, 429
3 801, 889, 167, 260, 429
13 267, 889, 167, 260, 143
267, 889, 167, 20, 11

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

2 x 3 x 13 x 267 x 889 x 167 x 20 x 11 = 680215896360

Therefore, the lowest common multiple of 801,889,334,520,429 is 680215896360.

LCM Formula to Find Lowest Common Multiple of 801,889,334,520,429

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.

801 x 889 x 334 x 520 x 429 = 53056839916080

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.

801 : 1, 3, 9, 89, 267, 801

889 : 1, 7, 127, 889

334 : 1, 2, 167, 334

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

429 : 1, 3, 11, 13, 33, 39, 143, 429

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 801,889,334,520,429, is 1.

Now, the common factors can be found like this.

801:3x 3x 89

889:7x 127

334:2x 167

520:2x 2x 2x 5x 13

429:3x 11x 13

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

2x 3x 13 = 78

Therefore, the value for common factors is 78.

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 = 53056839916080/(1x78)

LCM = 53056839916080/78

LCM = 680215896360

Thus, we can understand that the LCM of 801,889,334,520,429 is 680215896360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 801, 889, 334, 520, 429

1. What is the LCM of 801, 889, 334, 520, 429?

Answer: LCM of 801, 889, 334, 520, 429 is 680215896360.

2. How to calculate the LCM of 801, 889, 334, 520, 429?

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 801, 889, 334, 520, 429.

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}.