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LCM of 429, 319, 578, 114, 867

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


Find the LCM of 429, 319, 578, 114, 867 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 429, 319, 578, 114, 867. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 429,319,578,114,867

Given numbers are 429,319,578,114,867

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

The LCM of 429,319,578,114,867 is 136627062.

Find LCM of 429,319,578,114,867 with Prime Factorization


2 429, 319, 578, 114, 867
3 429, 319, 289, 57, 867
11 143, 319, 289, 19, 289
17 13, 29, 289, 19, 289
17 13, 29, 17, 19, 17
13, 29, 1, 19, 1

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

2 x 3 x 11 x 17 x 17 x 13 x 29 x 1 x 19 x 1 = 136627062

Therefore, the lowest common multiple of 429,319,578,114,867 is 136627062.

LCM Formula to Find Lowest Common Multiple of 429,319,578,114,867

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.

429 x 319 x 578 x 114 x 867 = 7818073741764

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.

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

319 : 1, 11, 29, 319

578 : 1, 2, 17, 34, 289, 578

114 : 1, 2, 3, 6, 19, 38, 57, 114

867 : 1, 3, 17, 51, 289, 867

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,319,578,114,867, is 1.

Now, the common factors can be found like this.

429:3x 11x 13

319:11x 29

578:2x 17x 17

114:2x 3x 19

867:3x 17x 17

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 3x 11x 17x 17 = 57222

Therefore, the value for common factors is 57222.

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 = 7818073741764/(1x57222)

LCM = 7818073741764/57222

LCM = 136627062

Thus, we can understand that the LCM of 429,319,578,114,867 is 136627062.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 429, 319, 578, 114, 867

1. What is the LCM of 429, 319, 578, 114, 867?

Answer: LCM of 429, 319, 578, 114, 867 is 136627062.

2. How to calculate the LCM of 429, 319, 578, 114, 867?

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 429, 319, 578, 114, 867.

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}.