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LCM of 368, 898, 480, 435, 108

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


Find the LCM of 368, 898, 480, 435, 108 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 368, 898, 480, 435, 108. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 368,898,480,435,108

Given numbers are 368,898,480,435,108

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

The LCM of 368,898,480,435,108 is 1293766560.

Find LCM of 368,898,480,435,108 with Prime Factorization


2 368, 898, 480, 435, 108
2 184, 449, 240, 435, 54
2 92, 449, 120, 435, 27
2 46, 449, 60, 435, 27
3 23, 449, 30, 435, 27
5 23, 449, 10, 145, 9
23, 449, 2, 29, 9

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

2 x 2 x 2 x 2 x 3 x 5 x 23 x 449 x 2 x 29 x 9 = 1293766560

Therefore, the lowest common multiple of 368,898,480,435,108 is 1293766560.

LCM Formula to Find Lowest Common Multiple of 368,898,480,435,108

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.

368 x 898 x 480 x 435 x 108 = 7452095385600

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.

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

898 : 1, 2, 449, 898

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

435 : 1, 3, 5, 15, 29, 87, 145, 435

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,898,480,435,108, is 1.

Now, the common factors can be found like this.

368:2x 2x 2x 2x 23

898:2x 449

480:2x 2x 2x 2x 2x 3x 5

435:3x 5x 29

108:2x 2x 3x 3x 3

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 3x 3x 5 = 5760

Therefore, the value for common factors is 5760.

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 = 7452095385600/(1x5760)

LCM = 7452095385600/5760

LCM = 1293766560

Thus, we can understand that the LCM of 368,898,480,435,108 is 1293766560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 368, 898, 480, 435, 108

1. What is the LCM of 368, 898, 480, 435, 108?

Answer: LCM of 368, 898, 480, 435, 108 is 1293766560.

2. How to calculate the LCM of 368, 898, 480, 435, 108?

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 368, 898, 480, 435, 108.

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}.