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LCM of 256, 746, 671, 590, 457

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


Find the LCM of 256, 746, 671, 590, 457 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 256, 746, 671, 590, 457. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 256,746,671,590,457

Given numbers are 256,746,671,590,457

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

The LCM of 256,746,671,590,457 is 8637927077120.

Find LCM of 256,746,671,590,457 with Prime Factorization


2 256, 746, 671, 590, 457
128, 373, 671, 295, 457

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

2 x 128 x 373 x 671 x 295 x 457 = 8637927077120

Therefore, the lowest common multiple of 256,746,671,590,457 is 8637927077120.

LCM Formula to Find Lowest Common Multiple of 256,746,671,590,457

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.

256 x 746 x 671 x 590 x 457 = 34551708308480

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.

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

746 : 1, 2, 373, 746

671 : 1, 11, 61, 671

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

457 : 1, 457

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 256,746,671,590,457, is 1.

Now, the common factors can be found like this.

256:2x 2x 2x 2x 2x 2x 2x 2

746:2x 373

671:11x 61

590:2x 5x 59

457:457

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 = 34551708308480/(1x4)

LCM = 34551708308480/4

LCM = 8637927077120

Thus, we can understand that the LCM of 256,746,671,590,457 is 8637927077120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 256, 746, 671, 590, 457

1. What is the LCM of 256, 746, 671, 590, 457?

Answer: LCM of 256, 746, 671, 590, 457 is 8637927077120.

2. How to calculate the LCM of 256, 746, 671, 590, 457?

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 256, 746, 671, 590, 457.

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}.