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LCM of 437, 471, 658, 568

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


Find the LCM of 437, 471, 658, 568 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 437, 471, 658, 568. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 437,471,658,568

Given numbers are 437,471,658,568

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

The LCM of 437,471,658,568 is 38463303144.

Find LCM of 437,471,658,568 with Prime Factorization


2 437, 471, 658, 568
437, 471, 329, 284

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

2 x 437 x 471 x 329 x 284 = 38463303144

Therefore, the lowest common multiple of 437,471,658,568 is 38463303144.

LCM Formula to Find Lowest Common Multiple of 437,471,658,568

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.

437 x 471 x 658 x 568 = 76926606288

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.

437 : 1, 19, 23, 437

471 : 1, 3, 157, 471

658 : 1, 2, 7, 14, 47, 94, 329, 658

568 : 1, 2, 4, 8, 71, 142, 284, 568

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,471,658,568, is 1.

Now, the common factors can be found like this.

437:19x 23

471:3x 157

658:2x 7x 47

568:2x 2x 2x 71

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

2 = 2

Therefore, the value for common factors is 2.

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 = 76926606288/(1x2)

LCM = 76926606288/2

LCM = 38463303144

Thus, we can understand that the LCM of 437,471,658,568 is 38463303144.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 437, 471, 658, 568

1. What is the LCM of 437, 471, 658, 568?

Answer: LCM of 437, 471, 658, 568 is 38463303144.

2. How to calculate the LCM of 437, 471, 658, 568?

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 437, 471, 658, 568.

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}.