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LCM of 955, 698, 814, 817, 618

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


Find the LCM of 955, 698, 814, 817, 618 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 955, 698, 814, 817, 618. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 955,698,814,817,618

Given numbers are 955,698,814,817,618

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

The LCM of 955,698,814,817,618 is 68491036624890.

Find LCM of 955,698,814,817,618 with Prime Factorization


2 955, 698, 814, 817, 618
955, 349, 407, 817, 309

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

2 x 955 x 349 x 407 x 817 x 309 = 68491036624890

Therefore, the lowest common multiple of 955,698,814,817,618 is 68491036624890.

LCM Formula to Find Lowest Common Multiple of 955,698,814,817,618

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.

955 x 698 x 814 x 817 x 618 = 273964146499560

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.

955 : 1, 5, 191, 955

698 : 1, 2, 349, 698

814 : 1, 2, 11, 22, 37, 74, 407, 814

817 : 1, 19, 43, 817

618 : 1, 2, 3, 6, 103, 206, 309, 618

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 955,698,814,817,618, is 1.

Now, the common factors can be found like this.

955:5x 191

698:2x 349

814:2x 11x 37

817:19x 43

618:2x 3x 103

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 273964146499560/(1x4)

LCM = 273964146499560/4

LCM = 68491036624890

Thus, we can understand that the LCM of 955,698,814,817,618 is 68491036624890.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 955, 698, 814, 817, 618

1. What is the LCM of 955, 698, 814, 817, 618?

Answer: LCM of 955, 698, 814, 817, 618 is 68491036624890.

2. How to calculate the LCM of 955, 698, 814, 817, 618?

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 955, 698, 814, 817, 618.

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}.