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LCM of 154, 684, 542, 778, 320

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


Find the LCM of 154, 684, 542, 778, 320 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 154, 684, 542, 778, 320. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 154,684,542,778,320

Given numbers are 154,684,542,778,320

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

The LCM of 154,684,542,778,320 is 444176631360.

Find LCM of 154,684,542,778,320 with Prime Factorization


2 154, 684, 542, 778, 320
2 77, 342, 271, 389, 160
77, 171, 271, 389, 80

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

2 x 2 x 77 x 171 x 271 x 389 x 80 = 444176631360

Therefore, the lowest common multiple of 154,684,542,778,320 is 444176631360.

LCM Formula to Find Lowest Common Multiple of 154,684,542,778,320

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.

154 x 684 x 542 x 778 x 320 = 14213652203520

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.

154 : 1, 2, 7, 11, 14, 22, 77, 154

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

542 : 1, 2, 271, 542

778 : 1, 2, 389, 778

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 154,684,542,778,320, is 2.

Now, the common factors can be found like this.

154:2x 7x 11

684:2x 2x 3x 3x 19

542:2x 271

778:2x 389

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

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 2 = 16

Therefore, the value for common factors is 16.

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 = 14213652203520/(2x16)

LCM = 14213652203520/32

LCM = 444176631360

Thus, we can understand that the LCM of 154,684,542,778,320 is 444176631360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 154, 684, 542, 778, 320

1. What is the LCM of 154, 684, 542, 778, 320?

Answer: LCM of 154, 684, 542, 778, 320 is 444176631360.

2. How to calculate the LCM of 154, 684, 542, 778, 320?

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 154, 684, 542, 778, 320.

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}.