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LCM of 361, 288, 454, 840

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


Find the LCM of 361, 288, 454, 840 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 361, 288, 454, 840. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 361,288,454,840

Given numbers are 361,288,454,840

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

The LCM of 361,288,454,840 is 826025760.

Find LCM of 361,288,454,840 with Prime Factorization


2 361, 288, 454, 840
2 361, 144, 227, 420
2 361, 72, 227, 210
3 361, 36, 227, 105
361, 12, 227, 35

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

2 x 2 x 2 x 3 x 361 x 12 x 227 x 35 = 826025760

Therefore, the lowest common multiple of 361,288,454,840 is 826025760.

LCM Formula to Find Lowest Common Multiple of 361,288,454,840

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.

361 x 288 x 454 x 840 = 39649236480

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.

361 : 1, 19, 361

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

454 : 1, 2, 227, 454

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,288,454,840, is 1.

Now, the common factors can be found like this.

361:19x 19

288:2x 2x 2x 2x 2x 3x 3

454:2x 227

840:2x 2x 2x 3x 5x 7

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 3 = 48

Therefore, the value for common factors is 48.

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 = 39649236480/(1x48)

LCM = 39649236480/48

LCM = 826025760

Thus, we can understand that the LCM of 361,288,454,840 is 826025760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 361, 288, 454, 840

1. What is the LCM of 361, 288, 454, 840?

Answer: LCM of 361, 288, 454, 840 is 826025760.

2. How to calculate the LCM of 361, 288, 454, 840?

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 361, 288, 454, 840.

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}.