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LCM of 263, 355, 811, 497, 142

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


Find the LCM of 263, 355, 811, 497, 142 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 263, 355, 811, 497, 142. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 263,355,811,497,142

Given numbers are 263,355,811,497,142

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

The LCM of 263,355,811,497,142 is 1060066210.

Find LCM of 263,355,811,497,142 with Prime Factorization


71 263, 355, 811, 497, 142
263, 5, 811, 7, 2

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

71 x 263 x 5 x 811 x 7 x 2 = 1060066210

Therefore, the lowest common multiple of 263,355,811,497,142 is 1060066210.

LCM Formula to Find Lowest Common Multiple of 263,355,811,497,142

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.

263 x 355 x 811 x 497 x 142 = 5343793764610

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.

263 : 1, 263

355 : 1, 5, 71, 355

811 : 1, 811

497 : 1, 7, 71, 497

142 : 1, 2, 71, 142

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 263,355,811,497,142, is 1.

Now, the common factors can be found like this.

263:263

355:5x 71

811:811

497:7x 71

142:2x 71

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

71x 71 = 5041

Therefore, the value for common factors is 5041.

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 = 5343793764610/(1x5041)

LCM = 5343793764610/5041

LCM = 1060066210

Thus, we can understand that the LCM of 263,355,811,497,142 is 1060066210.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 263, 355, 811, 497, 142

1. What is the LCM of 263, 355, 811, 497, 142?

Answer: LCM of 263, 355, 811, 497, 142 is 1060066210.

2. How to calculate the LCM of 263, 355, 811, 497, 142?

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 263, 355, 811, 497, 142.

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}.