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LCM of 723, 546, 767, 336, 891

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


Find the LCM of 723, 546, 767, 336, 891 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 723, 546, 767, 336, 891. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 723,546,767,336,891

Given numbers are 723,546,767,336,891

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

The LCM of 723,546,767,336,891 is 18446251824.

Find LCM of 723,546,767,336,891 with Prime Factorization


2 723, 546, 767, 336, 891
3 723, 273, 767, 168, 891
7 241, 91, 767, 56, 297
13 241, 13, 767, 8, 297
241, 1, 59, 8, 297

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

2 x 3 x 7 x 13 x 241 x 1 x 59 x 8 x 297 = 18446251824

Therefore, the lowest common multiple of 723,546,767,336,891 is 18446251824.

LCM Formula to Find Lowest Common Multiple of 723,546,767,336,891

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.

723 x 546 x 767 x 336 x 891 = 90644881463136

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.

723 : 1, 3, 241, 723

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

767 : 1, 13, 59, 767

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,546,767,336,891, is 1.

Now, the common factors can be found like this.

723:3x 241

546:2x 3x 7x 13

767:13x 59

336:2x 2x 2x 2x 3x 7

891:3x 3x 3x 3x 11

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 7x 13 = 4914

Therefore, the value for common factors is 4914.

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 = 90644881463136/(1x4914)

LCM = 90644881463136/4914

LCM = 18446251824

Thus, we can understand that the LCM of 723,546,767,336,891 is 18446251824.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 723, 546, 767, 336, 891

1. What is the LCM of 723, 546, 767, 336, 891?

Answer: LCM of 723, 546, 767, 336, 891 is 18446251824.

2. How to calculate the LCM of 723, 546, 767, 336, 891?

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 723, 546, 767, 336, 891.

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}.