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LCM of 527, 442, 381, 791, 858

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


Find the LCM of 527, 442, 381, 791, 858 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 527, 442, 381, 791, 858. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 527,442,381,791,858

Given numbers are 527,442,381,791,858

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

The LCM of 527,442,381,791,858 is 45423239862.

Find LCM of 527,442,381,791,858 with Prime Factorization


2 527, 442, 381, 791, 858
3 527, 221, 381, 791, 429
13 527, 221, 127, 791, 143
17 527, 17, 127, 791, 11
31, 1, 127, 791, 11

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

2 x 3 x 13 x 17 x 31 x 1 x 127 x 791 x 11 = 45423239862

Therefore, the lowest common multiple of 527,442,381,791,858 is 45423239862.

LCM Formula to Find Lowest Common Multiple of 527,442,381,791,858

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.

527 x 442 x 381 x 791 x 858 = 60231216057012

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.

527 : 1, 17, 31, 527

442 : 1, 2, 13, 17, 26, 34, 221, 442

381 : 1, 3, 127, 381

791 : 1, 7, 113, 791

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 527,442,381,791,858, is 1.

Now, the common factors can be found like this.

527:17x 31

442:2x 13x 17

381:3x 127

791:7x 113

858:2x 3x 11x 13

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

2x 3x 13x 17 = 1326

Therefore, the value for common factors is 1326.

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 = 60231216057012/(1x1326)

LCM = 60231216057012/1326

LCM = 45423239862

Thus, we can understand that the LCM of 527,442,381,791,858 is 45423239862.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 527, 442, 381, 791, 858

1. What is the LCM of 527, 442, 381, 791, 858?

Answer: LCM of 527, 442, 381, 791, 858 is 45423239862.

2. How to calculate the LCM of 527, 442, 381, 791, 858?

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 527, 442, 381, 791, 858.

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}.