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LCM of 706, 249, 263, 771, 817

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


Find the LCM of 706, 249, 263, 771, 817 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 706, 249, 263, 771, 817. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 706,249,263,771,817

Given numbers are 706,249,263,771,817

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

The LCM of 706,249,263,771,817 is 9707669371518.

Find LCM of 706,249,263,771,817 with Prime Factorization


3 706, 249, 263, 771, 817
706, 83, 263, 257, 817

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

3 x 706 x 83 x 263 x 257 x 817 = 9707669371518

Therefore, the lowest common multiple of 706,249,263,771,817 is 9707669371518.

LCM Formula to Find Lowest Common Multiple of 706,249,263,771,817

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.

706 x 249 x 263 x 771 x 817 = 29123008114554

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.

706 : 1, 2, 353, 706

249 : 1, 3, 83, 249

263 : 1, 263

771 : 1, 3, 257, 771

817 : 1, 19, 43, 817

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,249,263,771,817, is 1.

Now, the common factors can be found like this.

706:2x 353

249:3x 83

263:263

771:3x 257

817:19x 43

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

3 = 3

Therefore, the value for common factors is 3.

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 = 29123008114554/(1x3)

LCM = 29123008114554/3

LCM = 9707669371518

Thus, we can understand that the LCM of 706,249,263,771,817 is 9707669371518.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 706, 249, 263, 771, 817

1. What is the LCM of 706, 249, 263, 771, 817?

Answer: LCM of 706, 249, 263, 771, 817 is 9707669371518.

2. How to calculate the LCM of 706, 249, 263, 771, 817?

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 706, 249, 263, 771, 817.

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}.