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LCM of 958, 805, 238, 908, 518

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


Find the LCM of 958, 805, 238, 908, 518 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 958, 805, 238, 908, 518. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 958,805,238,908,518

Given numbers are 958,805,238,908,518

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

The LCM of 958,805,238,908,518 is 220225643540.

Find LCM of 958,805,238,908,518 with Prime Factorization


2 958, 805, 238, 908, 518
7 479, 805, 119, 454, 259
479, 115, 17, 454, 37

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

2 x 7 x 479 x 115 x 17 x 454 x 37 = 220225643540

Therefore, the lowest common multiple of 958,805,238,908,518 is 220225643540.

LCM Formula to Find Lowest Common Multiple of 958,805,238,908,518

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.

958 x 805 x 238 x 908 x 518 = 86328452267680

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.

958 : 1, 2, 479, 958

805 : 1, 5, 7, 23, 35, 115, 161, 805

238 : 1, 2, 7, 14, 17, 34, 119, 238

908 : 1, 2, 4, 227, 454, 908

518 : 1, 2, 7, 14, 37, 74, 259, 518

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,805,238,908,518, is 1.

Now, the common factors can be found like this.

958:2x 479

805:5x 7x 23

238:2x 7x 17

908:2x 2x 227

518:2x 7x 37

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 2x 7x 7 = 392

Therefore, the value for common factors is 392.

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 = 86328452267680/(1x392)

LCM = 86328452267680/392

LCM = 220225643540

Thus, we can understand that the LCM of 958,805,238,908,518 is 220225643540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 958, 805, 238, 908, 518

1. What is the LCM of 958, 805, 238, 908, 518?

Answer: LCM of 958, 805, 238, 908, 518 is 220225643540.

2. How to calculate the LCM of 958, 805, 238, 908, 518?

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 958, 805, 238, 908, 518.

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}.