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LCM of 262, 638, 943, 478, 427

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


Find the LCM of 262, 638, 943, 478, 427 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 262, 638, 943, 478, 427. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 262,638,943,478,427

Given numbers are 262,638,943,478,427

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

The LCM of 262,638,943,478,427 is 8043210652862.

Find LCM of 262,638,943,478,427 with Prime Factorization


2 262, 638, 943, 478, 427
131, 319, 943, 239, 427

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

2 x 131 x 319 x 943 x 239 x 427 = 8043210652862

Therefore, the lowest common multiple of 262,638,943,478,427 is 8043210652862.

LCM Formula to Find Lowest Common Multiple of 262,638,943,478,427

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.

262 x 638 x 943 x 478 x 427 = 32172842611448

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.

262 : 1, 2, 131, 262

638 : 1, 2, 11, 22, 29, 58, 319, 638

943 : 1, 23, 41, 943

478 : 1, 2, 239, 478

427 : 1, 7, 61, 427

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 262,638,943,478,427, is 1.

Now, the common factors can be found like this.

262:2x 131

638:2x 11x 29

943:23x 41

478:2x 239

427:7x 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 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 = 32172842611448/(1x4)

LCM = 32172842611448/4

LCM = 8043210652862

Thus, we can understand that the LCM of 262,638,943,478,427 is 8043210652862.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 262, 638, 943, 478, 427

1. What is the LCM of 262, 638, 943, 478, 427?

Answer: LCM of 262, 638, 943, 478, 427 is 8043210652862.

2. How to calculate the LCM of 262, 638, 943, 478, 427?

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 262, 638, 943, 478, 427.

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}.