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LCM of 853, 552, 690, 519, 533

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


Find the LCM of 853, 552, 690, 519, 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 853, 552, 690, 519, 533. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 853,552,690,519,533

Given numbers are 853,552,690,519,533

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

The LCM of 853,552,690,519,533 is 217085804520.

Find LCM of 853,552,690,519,533 with Prime Factorization


2 853, 552, 690, 519, 533
3 853, 276, 345, 519, 533
23 853, 92, 115, 173, 533
853, 4, 5, 173, 533

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

2 x 3 x 23 x 853 x 4 x 5 x 173 x 533 = 217085804520

Therefore, the lowest common multiple of 853,552,690,519,533 is 217085804520.

LCM Formula to Find Lowest Common Multiple of 853,552,690,519,533

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.

853 x 552 x 690 x 519 x 533 = 89873523071280

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.

853 : 1, 853

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

519 : 1, 3, 173, 519

533 : 1, 13, 41, 533

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 853,552,690,519,533, is 1.

Now, the common factors can be found like this.

853:853

552:2x 2x 2x 3x 23

690:2x 3x 5x 23

519:3x 173

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 3x 3x 23 = 414

Therefore, the value for common factors is 414.

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 = 89873523071280/(1x414)

LCM = 89873523071280/414

LCM = 217085804520

Thus, we can understand that the LCM of 853,552,690,519,533 is 217085804520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 853, 552, 690, 519, 533

1. What is the LCM of 853, 552, 690, 519, 533?

Answer: LCM of 853, 552, 690, 519, 533 is 217085804520.

2. How to calculate the LCM of 853, 552, 690, 519, 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 853, 552, 690, 519, 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}.