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LCM of 437, 314, 381, 568, 746

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


Find the LCM of 437, 314, 381, 568, 746 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, 314, 381, 568, 746. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 437,314,381,568,746

Given numbers are 437,314,381,568,746

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

The LCM of 437,314,381,568,746 is 5538131104056.

Find LCM of 437,314,381,568,746 with Prime Factorization


2 437, 314, 381, 568, 746
437, 157, 381, 284, 373

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

2 x 437 x 157 x 381 x 284 x 373 = 5538131104056

Therefore, the lowest common multiple of 437,314,381,568,746 is 5538131104056.

LCM Formula to Find Lowest Common Multiple of 437,314,381,568,746

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 314 x 381 x 568 x 746 = 22152524416224

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

314 : 1, 2, 157, 314

381 : 1, 3, 127, 381

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

746 : 1, 2, 373, 746

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,314,381,568,746, is 1.

Now, the common factors can be found like this.

437:19x 23

314:2x 157

381:3x 127

568:2x 2x 2x 71

746:2x 373

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 22152524416224/(1x4)

LCM = 22152524416224/4

LCM = 5538131104056

Thus, we can understand that the LCM of 437,314,381,568,746 is 5538131104056.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 437, 314, 381, 568, 746

1. What is the LCM of 437, 314, 381, 568, 746?

Answer: LCM of 437, 314, 381, 568, 746 is 5538131104056.

2. How to calculate the LCM of 437, 314, 381, 568, 746?

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, 314, 381, 568, 746.

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}.