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LCM of 128, 484, 320, 247, 702

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


Find the LCM of 128, 484, 320, 247, 702 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 128, 484, 320, 247, 702. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 128,484,320,247,702

Given numbers are 128,484,320,247,702

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

The LCM of 128,484,320,247,702 is 516447360.

Find LCM of 128,484,320,247,702 with Prime Factorization


2 128, 484, 320, 247, 702
2 64, 242, 160, 247, 351
2 32, 121, 80, 247, 351
2 16, 121, 40, 247, 351
2 8, 121, 20, 247, 351
2 4, 121, 10, 247, 351
13 2, 121, 5, 247, 351
2, 121, 5, 19, 27

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

2 x 2 x 2 x 2 x 2 x 2 x 13 x 2 x 121 x 5 x 19 x 27 = 516447360

Therefore, the lowest common multiple of 128,484,320,247,702 is 516447360.

LCM Formula to Find Lowest Common Multiple of 128,484,320,247,702

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.

128 x 484 x 320 x 247 x 702 = 3437473628160

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.

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

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

247 : 1, 13, 19, 247

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 128,484,320,247,702, is 1.

Now, the common factors can be found like this.

128:2x 2x 2x 2x 2x 2x 2

484:2x 2x 11x 11

320:2x 2x 2x 2x 2x 2x 5

247:13x 19

702:2x 3x 3x 3x 13

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 2x 2x 2x 2x 2x 2x 13 = 6656

Therefore, the value for common factors is 6656.

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 = 3437473628160/(1x6656)

LCM = 3437473628160/6656

LCM = 516447360

Thus, we can understand that the LCM of 128,484,320,247,702 is 516447360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 128, 484, 320, 247, 702

1. What is the LCM of 128, 484, 320, 247, 702?

Answer: LCM of 128, 484, 320, 247, 702 is 516447360.

2. How to calculate the LCM of 128, 484, 320, 247, 702?

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 128, 484, 320, 247, 702.

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}.