LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 638, 338, 858, 130

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


Find the LCM of 638, 338, 858, 130 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 638, 338, 858, 130. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 638,338,858,130

Given numbers are 638,338,858,130

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

The LCM of 638,338,858,130 is 1617330.

Find LCM of 638,338,858,130 with Prime Factorization


2 638, 338, 858, 130
11 319, 169, 429, 65
13 29, 169, 39, 65
29, 13, 3, 5

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

2 x 11 x 13 x 29 x 13 x 3 x 5 = 1617330

Therefore, the lowest common multiple of 638,338,858,130 is 1617330.

LCM Formula to Find Lowest Common Multiple of 638,338,858,130

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.

638 x 338 x 858 x 130 = 24052931760

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.

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

338 : 1, 2, 13, 26, 169, 338

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

130 : 1, 2, 5, 10, 13, 26, 65, 130

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,338,858,130, is 2.

Now, the common factors can be found like this.

638:2x 11x 29

338:2x 13x 13

858:2x 3x 11x 13

130:2x 5x 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 2x 11x 13x 13 = 7436

Therefore, the value for common factors is 7436.

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 = 24052931760/(2x7436)

LCM = 24052931760/14872

LCM = 1617330

Thus, we can understand that the LCM of 638,338,858,130 is 1617330.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 638, 338, 858, 130

1. What is the LCM of 638, 338, 858, 130?

Answer: LCM of 638, 338, 858, 130 is 1617330.

2. How to calculate the LCM of 638, 338, 858, 130?

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 638, 338, 858, 130.

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}.