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LCM of 340, 583, 435, 105, 283

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


Find the LCM of 340, 583, 435, 105, 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 340, 583, 435, 105, 283. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 340,583,435,105,283

Given numbers are 340,583,435,105,283

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

The LCM of 340,583,435,105,283 is 34162622340.

Find LCM of 340,583,435,105,283 with Prime Factorization


3 340, 583, 435, 105, 283
5 340, 583, 145, 35, 283
68, 583, 29, 7, 283

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

3 x 5 x 68 x 583 x 29 x 7 x 283 = 34162622340

Therefore, the lowest common multiple of 340,583,435,105,283 is 34162622340.

LCM Formula to Find Lowest Common Multiple of 340,583,435,105,283

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.

340 x 583 x 435 x 105 x 283 = 2562196675500

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.

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

583 : 1, 11, 53, 583

435 : 1, 3, 5, 15, 29, 87, 145, 435

105 : 1, 3, 5, 7, 15, 21, 35, 105

283 : 1, 283

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 340,583,435,105,283, is 1.

Now, the common factors can be found like this.

340:2x 2x 5x 17

583:11x 53

435:3x 5x 29

105:3x 5x 7

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.

3x 5x 5 = 75

Therefore, the value for common factors is 75.

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 = 2562196675500/(1x75)

LCM = 2562196675500/75

LCM = 34162622340

Thus, we can understand that the LCM of 340,583,435,105,283 is 34162622340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 340, 583, 435, 105, 283

1. What is the LCM of 340, 583, 435, 105, 283?

Answer: LCM of 340, 583, 435, 105, 283 is 34162622340.

2. How to calculate the LCM of 340, 583, 435, 105, 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 340, 583, 435, 105, 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}.