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LCM of 429, 767, 827, 638

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


Find the LCM of 429, 767, 827, 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 429, 767, 827, 638. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 429,767,827,638

Given numbers are 429,767,827,638

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

The LCM of 429,767,827,638 is 1214067426.

Find LCM of 429,767,827,638 with Prime Factorization


11 429, 767, 827, 638
13 39, 767, 827, 58
3, 59, 827, 58

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

11 x 13 x 3 x 59 x 827 x 58 = 1214067426

Therefore, the lowest common multiple of 429,767,827,638 is 1214067426.

LCM Formula to Find Lowest Common Multiple of 429,767,827,638

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.

429 x 767 x 827 x 638 = 173611641918

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

767 : 1, 13, 59, 767

827 : 1, 827

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 429,767,827,638, is 1.

Now, the common factors can be found like this.

429:3x 11x 13

767:13x 59

827:827

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.

11x 13 = 143

Therefore, the value for common factors is 143.

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 = 173611641918/(1x143)

LCM = 173611641918/143

LCM = 1214067426

Thus, we can understand that the LCM of 429,767,827,638 is 1214067426.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 429, 767, 827, 638

1. What is the LCM of 429, 767, 827, 638?

Answer: LCM of 429, 767, 827, 638 is 1214067426.

2. How to calculate the LCM of 429, 767, 827, 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 429, 767, 827, 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}.