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LCM of 590, 934, 551, 690, 638

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


Find the LCM of 590, 934, 551, 690, 638 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 590, 934, 551, 690, 638. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 590,934,551,690,638

Given numbers are 590,934,551,690,638

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

The LCM of 590,934,551,690,638 is 115229125770.

Find LCM of 590,934,551,690,638 with Prime Factorization


2 590, 934, 551, 690, 638
5 295, 467, 551, 345, 319
29 59, 467, 551, 69, 319
59, 467, 19, 69, 11

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

2 x 5 x 29 x 59 x 467 x 19 x 69 x 11 = 115229125770

Therefore, the lowest common multiple of 590,934,551,690,638 is 115229125770.

LCM Formula to Find Lowest Common Multiple of 590,934,551,690,638

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.

590 x 934 x 551 x 690 x 638 = 133665785893200

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.

590 : 1, 2, 5, 10, 59, 118, 295, 590

934 : 1, 2, 467, 934

551 : 1, 19, 29, 551

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

638 : 1, 2, 11, 22, 29, 58, 319, 638

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,934,551,690,638, is 1.

Now, the common factors can be found like this.

590:2x 5x 59

934:2x 467

551:19x 29

690:2x 3x 5x 23

638:2x 11x 29

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

2x 2x 2x 5x 29 = 1160

Therefore, the value for common factors is 1160.

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 = 133665785893200/(1x1160)

LCM = 133665785893200/1160

LCM = 115229125770

Thus, we can understand that the LCM of 590,934,551,690,638 is 115229125770.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 590, 934, 551, 690, 638

1. What is the LCM of 590, 934, 551, 690, 638?

Answer: LCM of 590, 934, 551, 690, 638 is 115229125770.

2. How to calculate the LCM of 590, 934, 551, 690, 638?

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 590, 934, 551, 690, 638.

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}.