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LCM of 264, 793, 706, 854

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


Find the LCM of 264, 793, 706, 854 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 264, 793, 706, 854. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 264,793,706,854

Given numbers are 264,793,706,854

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

The LCM of 264,793,706,854 is 517308792.

Find LCM of 264,793,706,854 with Prime Factorization


2 264, 793, 706, 854
61 132, 793, 353, 427
132, 13, 353, 7

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

2 x 61 x 132 x 13 x 353 x 7 = 517308792

Therefore, the lowest common multiple of 264,793,706,854 is 517308792.

LCM Formula to Find Lowest Common Multiple of 264,793,706,854

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.

264 x 793 x 706 x 854 = 126223345248

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.

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

793 : 1, 13, 61, 793

706 : 1, 2, 353, 706

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,793,706,854, is 1.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

793:13x 61

706:2x 353

854:2x 7x 61

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 61 = 244

Therefore, the value for common factors is 244.

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 = 126223345248/(1x244)

LCM = 126223345248/244

LCM = 517308792

Thus, we can understand that the LCM of 264,793,706,854 is 517308792.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 264, 793, 706, 854

1. What is the LCM of 264, 793, 706, 854?

Answer: LCM of 264, 793, 706, 854 is 517308792.

2. How to calculate the LCM of 264, 793, 706, 854?

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 264, 793, 706, 854.

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}.