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LCM of 513, 378, 869, 638

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


Find the LCM of 513, 378, 869, 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 513, 378, 869, 638. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 513,378,869,638

Given numbers are 513,378,869,638

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

The LCM of 513,378,869,638 is 180993582.

Find LCM of 513,378,869,638 with Prime Factorization


2 513, 378, 869, 638
3 513, 189, 869, 319
3 171, 63, 869, 319
3 57, 21, 869, 319
11 19, 7, 869, 319
19, 7, 79, 29

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

2 x 3 x 3 x 3 x 11 x 19 x 7 x 79 x 29 = 180993582

Therefore, the lowest common multiple of 513,378,869,638 is 180993582.

LCM Formula to Find Lowest Common Multiple of 513,378,869,638

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.

513 x 378 x 869 x 638 = 107510187708

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.

513 : 1, 3, 9, 19, 27, 57, 171, 513

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

869 : 1, 11, 79, 869

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 513,378,869,638, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

378:2x 3x 3x 3x 7

869:11x 79

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.

2x 3x 3x 3x 11 = 594

Therefore, the value for common factors is 594.

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 = 107510187708/(1x594)

LCM = 107510187708/594

LCM = 180993582

Thus, we can understand that the LCM of 513,378,869,638 is 180993582.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 513, 378, 869, 638

1. What is the LCM of 513, 378, 869, 638?

Answer: LCM of 513, 378, 869, 638 is 180993582.

2. How to calculate the LCM of 513, 378, 869, 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 513, 378, 869, 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}.