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LCM of 320, 280, 840, 642

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


Find the LCM of 320, 280, 840, 642 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 320, 280, 840, 642. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 320,280,840,642

Given numbers are 320,280,840,642

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

The LCM of 320,280,840,642 is 719040.

Find LCM of 320,280,840,642 with Prime Factorization


2 320, 280, 840, 642
2 160, 140, 420, 321
2 80, 70, 210, 321
3 40, 35, 105, 321
5 40, 35, 35, 107
7 8, 7, 7, 107
8, 1, 1, 107

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

2 x 2 x 2 x 3 x 5 x 7 x 8 x 1 x 1 x 107 = 719040

Therefore, the lowest common multiple of 320,280,840,642 is 719040.

LCM Formula to Find Lowest Common Multiple of 320,280,840,642

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.

320 x 280 x 840 x 642 = 48319488000

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.

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

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

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

642 : 1, 2, 3, 6, 107, 214, 321, 642

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 320,280,840,642, is 2.

Now, the common factors can be found like this.

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

280:2x 2x 2x 5x 7

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

642:2x 3x 107

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 3x 5x 5x 7 = 33600

Therefore, the value for common factors is 33600.

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 = 48319488000/(2x33600)

LCM = 48319488000/67200

LCM = 719040

Thus, we can understand that the LCM of 320,280,840,642 is 719040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 320, 280, 840, 642

1. What is the LCM of 320, 280, 840, 642?

Answer: LCM of 320, 280, 840, 642 is 719040.

2. How to calculate the LCM of 320, 280, 840, 642?

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 320, 280, 840, 642.

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}.