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LCM of 280, 828, 220, 506, 723

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


Find the LCM of 280, 828, 220, 506, 723 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, 828, 220, 506, 723. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 280,828,220,506,723

Given numbers are 280,828,220,506,723

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

The LCM of 280,828,220,506,723 is 153651960.

Find LCM of 280,828,220,506,723 with Prime Factorization


2 280, 828, 220, 506, 723
2 140, 414, 110, 253, 723
3 70, 207, 55, 253, 723
5 70, 69, 55, 253, 241
11 14, 69, 11, 253, 241
23 14, 69, 1, 23, 241
14, 3, 1, 1, 241

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

2 x 2 x 3 x 5 x 11 x 23 x 14 x 3 x 1 x 1 x 241 = 153651960

Therefore, the lowest common multiple of 280,828,220,506,723 is 153651960.

LCM Formula to Find Lowest Common Multiple of 280,828,220,506,723

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 828 x 220 x 506 x 723 = 18659494022400

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

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

506 : 1, 2, 11, 22, 23, 46, 253, 506

723 : 1, 3, 241, 723

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 280,828,220,506,723, is 1.

Now, the common factors can be found like this.

280:2x 2x 2x 5x 7

828:2x 2x 3x 3x 23

220:2x 2x 5x 11

506:2x 11x 23

723:3x 241

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 3x 5x 11x 23 = 121440

Therefore, the value for common factors is 121440.

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 = 18659494022400/(1x121440)

LCM = 18659494022400/121440

LCM = 153651960

Thus, we can understand that the LCM of 280,828,220,506,723 is 153651960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 280, 828, 220, 506, 723

1. What is the LCM of 280, 828, 220, 506, 723?

Answer: LCM of 280, 828, 220, 506, 723 is 153651960.

2. How to calculate the LCM of 280, 828, 220, 506, 723?

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, 828, 220, 506, 723.

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}.