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LCM of 584, 349, 434, 394, 465

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


Find the LCM of 584, 349, 434, 394, 465 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 584, 349, 434, 394, 465. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 584,349,434,394,465

Given numbers are 584,349,434,394,465

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

The LCM of 584,349,434,394,465 is 130693952760.

Find LCM of 584,349,434,394,465 with Prime Factorization


2 584, 349, 434, 394, 465
31 292, 349, 217, 197, 465
292, 349, 7, 197, 15

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

2 x 31 x 292 x 349 x 7 x 197 x 15 = 130693952760

Therefore, the lowest common multiple of 584,349,434,394,465 is 130693952760.

LCM Formula to Find Lowest Common Multiple of 584,349,434,394,465

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.

584 x 349 x 434 x 394 x 465 = 16206050142240

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.

584 : 1, 2, 4, 8, 73, 146, 292, 584

349 : 1, 349

434 : 1, 2, 7, 14, 31, 62, 217, 434

394 : 1, 2, 197, 394

465 : 1, 3, 5, 15, 31, 93, 155, 465

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,349,434,394,465, is 1.

Now, the common factors can be found like this.

584:2x 2x 2x 73

349:349

434:2x 7x 31

394:2x 197

465:3x 5x 31

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 31 = 124

Therefore, the value for common factors is 124.

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 = 16206050142240/(1x124)

LCM = 16206050142240/124

LCM = 130693952760

Thus, we can understand that the LCM of 584,349,434,394,465 is 130693952760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 584, 349, 434, 394, 465

1. What is the LCM of 584, 349, 434, 394, 465?

Answer: LCM of 584, 349, 434, 394, 465 is 130693952760.

2. How to calculate the LCM of 584, 349, 434, 394, 465?

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 584, 349, 434, 394, 465.

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}.