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LCM of 766, 546, 429, 801

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


Find the LCM of 766, 546, 429, 801 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 766, 546, 429, 801. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 766,546,429,801

Given numbers are 766,546,429,801

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

The LCM of 766,546,429,801 is 614179566.

Find LCM of 766,546,429,801 with Prime Factorization


2 766, 546, 429, 801
3 383, 273, 429, 801
13 383, 91, 143, 267
383, 7, 11, 267

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

2 x 3 x 13 x 383 x 7 x 11 x 267 = 614179566

Therefore, the lowest common multiple of 766,546,429,801 is 614179566.

LCM Formula to Find Lowest Common Multiple of 766,546,429,801

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.

766 x 546 x 429 x 801 = 143718018444

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.

766 : 1, 2, 383, 766

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

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

801 : 1, 3, 9, 89, 267, 801

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 766,546,429,801, is 1.

Now, the common factors can be found like this.

766:2x 383

546:2x 3x 7x 13

429:3x 11x 13

801:3x 3x 89

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 13 = 234

Therefore, the value for common factors is 234.

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 = 143718018444/(1x234)

LCM = 143718018444/234

LCM = 614179566

Thus, we can understand that the LCM of 766,546,429,801 is 614179566.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 766, 546, 429, 801

1. What is the LCM of 766, 546, 429, 801?

Answer: LCM of 766, 546, 429, 801 is 614179566.

2. How to calculate the LCM of 766, 546, 429, 801?

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 766, 546, 429, 801.

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}.