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LCM of 280, 933, 625, 835, 420

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


Find the LCM of 280, 933, 625, 835, 420 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 280, 933, 625, 835, 420. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 280,933,625,835,420

Given numbers are 280,933,625,835,420

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

The LCM of 280,933,625,835,420 is 5453385000.

Find LCM of 280,933,625,835,420 with Prime Factorization


2 280, 933, 625, 835, 420
2 140, 933, 625, 835, 210
3 70, 933, 625, 835, 105
5 70, 311, 625, 835, 35
7 14, 311, 125, 167, 7
2, 311, 125, 167, 1

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

2 x 2 x 3 x 5 x 7 x 2 x 311 x 125 x 167 x 1 = 5453385000

Therefore, the lowest common multiple of 280,933,625,835,420 is 5453385000.

LCM Formula to Find Lowest Common Multiple of 280,933,625,835,420

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.

280 x 933 x 625 x 835 x 420 = 57260542500000

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.

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

933 : 1, 3, 311, 933

625 : 1, 5, 25, 125, 625

835 : 1, 5, 167, 835

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 280,933,625,835,420, is 1.

Now, the common factors can be found like this.

280:2x 2x 2x 5x 7

933:3x 311

625:5x 5x 5x 5

835:5x 167

420:2x 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 3x 5x 5x 5x 7 = 10500

Therefore, the value for common factors is 10500.

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 = 57260542500000/(1x10500)

LCM = 57260542500000/10500

LCM = 5453385000

Thus, we can understand that the LCM of 280,933,625,835,420 is 5453385000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 280, 933, 625, 835, 420

1. What is the LCM of 280, 933, 625, 835, 420?

Answer: LCM of 280, 933, 625, 835, 420 is 5453385000.

2. How to calculate the LCM of 280, 933, 625, 835, 420?

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 280, 933, 625, 835, 420.

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}.