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LCM of 282, 290, 528, 725

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


Find the LCM of 282, 290, 528, 725 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 282, 290, 528, 725. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 282,290,528,725

Given numbers are 282,290,528,725

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

The LCM of 282,290,528,725 is 17991600.

Find LCM of 282,290,528,725 with Prime Factorization


2 282, 290, 528, 725
3 141, 145, 264, 725
5 47, 145, 88, 725
29 47, 29, 88, 145
47, 1, 88, 5

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

2 x 3 x 5 x 29 x 47 x 1 x 88 x 5 = 17991600

Therefore, the lowest common multiple of 282,290,528,725 is 17991600.

LCM Formula to Find Lowest Common Multiple of 282,290,528,725

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.

282 x 290 x 528 x 725 = 31305384000

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.

282 : 1, 2, 3, 6, 47, 94, 141, 282

290 : 1, 2, 5, 10, 29, 58, 145, 290

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

725 : 1, 5, 25, 29, 145, 725

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,290,528,725, is 1.

Now, the common factors can be found like this.

282:2x 3x 47

290:2x 5x 29

528:2x 2x 2x 2x 3x 11

725:5x 5x 29

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 29 = 1740

Therefore, the value for common factors is 1740.

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 = 31305384000/(1x1740)

LCM = 31305384000/1740

LCM = 17991600

Thus, we can understand that the LCM of 282,290,528,725 is 17991600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 282, 290, 528, 725

1. What is the LCM of 282, 290, 528, 725?

Answer: LCM of 282, 290, 528, 725 is 17991600.

2. How to calculate the LCM of 282, 290, 528, 725?

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 282, 290, 528, 725.

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}.