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LCM of 929, 412, 189, 638

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


Find the LCM of 929, 412, 189, 638 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 929, 412, 189, 638. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 929,412,189,638

Given numbers are 929,412,189,638

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

The LCM of 929,412,189,638 is 23076259668.

Find LCM of 929,412,189,638 with Prime Factorization


2 929, 412, 189, 638
929, 206, 189, 319

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

2 x 929 x 206 x 189 x 319 = 23076259668

Therefore, the lowest common multiple of 929,412,189,638 is 23076259668.

LCM Formula to Find Lowest Common Multiple of 929,412,189,638

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.

929 x 412 x 189 x 638 = 46152519336

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.

929 : 1, 929

412 : 1, 2, 4, 103, 206, 412

189 : 1, 3, 7, 9, 21, 27, 63, 189

638 : 1, 2, 11, 22, 29, 58, 319, 638

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 929,412,189,638, is 1.

Now, the common factors can be found like this.

929:929

412:2x 2x 103

189:3x 3x 3x 7

638:2x 11x 29

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

2 = 2

Therefore, the value for common factors is 2.

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 = 46152519336/(1x2)

LCM = 46152519336/2

LCM = 23076259668

Thus, we can understand that the LCM of 929,412,189,638 is 23076259668.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 929, 412, 189, 638

1. What is the LCM of 929, 412, 189, 638?

Answer: LCM of 929, 412, 189, 638 is 23076259668.

2. How to calculate the LCM of 929, 412, 189, 638?

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 929, 412, 189, 638.

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}.