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LCM of 905, 422, 842, 689, 618

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


Find the LCM of 905, 422, 842, 689, 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 905, 422, 842, 689, 618. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 905,422,842,689,618

Given numbers are 905,422,842,689,618

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

The LCM of 905,422,842,689,618 is 34231097803110.

Find LCM of 905,422,842,689,618 with Prime Factorization


2 905, 422, 842, 689, 618
905, 211, 421, 689, 309

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

2 x 905 x 211 x 421 x 689 x 309 = 34231097803110

Therefore, the lowest common multiple of 905,422,842,689,618 is 34231097803110.

LCM Formula to Find Lowest Common Multiple of 905,422,842,689,618

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.

905 x 422 x 842 x 689 x 618 = 136924391212440

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.

905 : 1, 5, 181, 905

422 : 1, 2, 211, 422

842 : 1, 2, 421, 842

689 : 1, 13, 53, 689

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 905,422,842,689,618, is 1.

Now, the common factors can be found like this.

905:5x 181

422:2x 211

842:2x 421

689:13x 53

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 = 136924391212440/(1x4)

LCM = 136924391212440/4

LCM = 34231097803110

Thus, we can understand that the LCM of 905,422,842,689,618 is 34231097803110.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 905, 422, 842, 689, 618

1. What is the LCM of 905, 422, 842, 689, 618?

Answer: LCM of 905, 422, 842, 689, 618 is 34231097803110.

2. How to calculate the LCM of 905, 422, 842, 689, 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 905, 422, 842, 689, 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}.