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LCM of 610, 585, 624, 283

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


Find the LCM of 610, 585, 624, 283 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 610, 585, 624, 283. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 610,585,624,283

Given numbers are 610,585,624,283

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

The LCM of 610,585,624,283 is 161581680.

Find LCM of 610,585,624,283 with Prime Factorization


2 610, 585, 624, 283
3 305, 585, 312, 283
5 305, 195, 104, 283
13 61, 39, 104, 283
61, 3, 8, 283

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

2 x 3 x 5 x 13 x 61 x 3 x 8 x 283 = 161581680

Therefore, the lowest common multiple of 610,585,624,283 is 161581680.

LCM Formula to Find Lowest Common Multiple of 610,585,624,283

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.

610 x 585 x 624 x 283 = 63016855200

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.

610 : 1, 2, 5, 10, 61, 122, 305, 610

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

283 : 1, 283

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 610,585,624,283, is 1.

Now, the common factors can be found like this.

610:2x 5x 61

585:3x 3x 5x 13

624:2x 2x 2x 2x 3x 13

283:283

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 5x 13 = 390

Therefore, the value for common factors is 390.

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 = 63016855200/(1x390)

LCM = 63016855200/390

LCM = 161581680

Thus, we can understand that the LCM of 610,585,624,283 is 161581680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 610, 585, 624, 283

1. What is the LCM of 610, 585, 624, 283?

Answer: LCM of 610, 585, 624, 283 is 161581680.

2. How to calculate the LCM of 610, 585, 624, 283?

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 610, 585, 624, 283.

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}.