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LCM of 865, 138, 506, 533

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


Find the LCM of 865, 138, 506, 533 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 865, 138, 506, 533. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 865,138,506,533

Given numbers are 865,138,506,533

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

The LCM of 865,138,506,533 is 699866310.

Find LCM of 865,138,506,533 with Prime Factorization


2 865, 138, 506, 533
23 865, 69, 253, 533
865, 3, 11, 533

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

2 x 23 x 865 x 3 x 11 x 533 = 699866310

Therefore, the lowest common multiple of 865,138,506,533 is 699866310.

LCM Formula to Find Lowest Common Multiple of 865,138,506,533

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.

865 x 138 x 506 x 533 = 32193850260

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.

865 : 1, 5, 173, 865

138 : 1, 2, 3, 6, 23, 46, 69, 138

506 : 1, 2, 11, 22, 23, 46, 253, 506

533 : 1, 13, 41, 533

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 865,138,506,533, is 1.

Now, the common factors can be found like this.

865:5x 173

138:2x 3x 23

506:2x 11x 23

533:13x 41

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

2x 23 = 46

Therefore, the value for common factors is 46.

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 = 32193850260/(1x46)

LCM = 32193850260/46

LCM = 699866310

Thus, we can understand that the LCM of 865,138,506,533 is 699866310.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 865, 138, 506, 533

1. What is the LCM of 865, 138, 506, 533?

Answer: LCM of 865, 138, 506, 533 is 699866310.

2. How to calculate the LCM of 865, 138, 506, 533?

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 865, 138, 506, 533.

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}.