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LCM of 273, 854, 671, 704

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


Find the LCM of 273, 854, 671, 704 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 273, 854, 671, 704. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 273,854,671,704

Given numbers are 273,854,671,704

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

The LCM of 273,854,671,704 is 11723712.

Find LCM of 273,854,671,704 with Prime Factorization


2 273, 854, 671, 704
7 273, 427, 671, 352
11 39, 61, 671, 352
61 39, 61, 61, 32
39, 1, 1, 32

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

2 x 7 x 11 x 61 x 39 x 1 x 1 x 32 = 11723712

Therefore, the lowest common multiple of 273,854,671,704 is 11723712.

LCM Formula to Find Lowest Common Multiple of 273,854,671,704

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.

273 x 854 x 671 x 704 = 110132550528

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.

273 : 1, 3, 7, 13, 21, 39, 91, 273

854 : 1, 2, 7, 14, 61, 122, 427, 854

671 : 1, 11, 61, 671

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,854,671,704, is 1.

Now, the common factors can be found like this.

273:3x 7x 13

854:2x 7x 61

671:11x 61

704:2x 2x 2x 2x 2x 2x 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 7x 11x 61 = 9394

Therefore, the value for common factors is 9394.

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 = 110132550528/(1x9394)

LCM = 110132550528/9394

LCM = 11723712

Thus, we can understand that the LCM of 273,854,671,704 is 11723712.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 273, 854, 671, 704

1. What is the LCM of 273, 854, 671, 704?

Answer: LCM of 273, 854, 671, 704 is 11723712.

2. How to calculate the LCM of 273, 854, 671, 704?

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 273, 854, 671, 704.

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}.