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LCM of 527, 858, 442, 563

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


Find the LCM of 527, 858, 442, 563 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, 858, 442, 563. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 527,858,442,563

Given numbers are 527,858,442,563

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

The LCM of 527,858,442,563 is 254569458.

Find LCM of 527,858,442,563 with Prime Factorization


2 527, 858, 442, 563
13 527, 429, 221, 563
17 527, 33, 17, 563
31, 33, 1, 563

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

2 x 13 x 17 x 31 x 33 x 1 x 563 = 254569458

Therefore, the lowest common multiple of 527,858,442,563 is 254569458.

LCM Formula to Find Lowest Common Multiple of 527,858,442,563

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 858 x 442 x 563 = 112519700436

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

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

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

563 : 1, 563

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 527,858,442,563, is 1.

Now, the common factors can be found like this.

527:17x 31

858:2x 3x 11x 13

442:2x 13x 17

563:563

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

2x 13x 17 = 442

Therefore, the value for common factors is 442.

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 = 112519700436/(1x442)

LCM = 112519700436/442

LCM = 254569458

Thus, we can understand that the LCM of 527,858,442,563 is 254569458.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 527, 858, 442, 563

1. What is the LCM of 527, 858, 442, 563?

Answer: LCM of 527, 858, 442, 563 is 254569458.

2. How to calculate the LCM of 527, 858, 442, 563?

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, 858, 442, 563.

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}.