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LCM of 288, 533, 377, 758

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


Find the LCM of 288, 533, 377, 758 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 288, 533, 377, 758. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 288,533,377,758

Given numbers are 288,533,377,758

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

The LCM of 288,533,377,758 is 1687162464.

Find LCM of 288,533,377,758 with Prime Factorization


2 288, 533, 377, 758
13 144, 533, 377, 379
144, 41, 29, 379

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

2 x 13 x 144 x 41 x 29 x 379 = 1687162464

Therefore, the lowest common multiple of 288,533,377,758 is 1687162464.

LCM Formula to Find Lowest Common Multiple of 288,533,377,758

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.

288 x 533 x 377 x 758 = 43866224064

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.

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

533 : 1, 13, 41, 533

377 : 1, 13, 29, 377

758 : 1, 2, 379, 758

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,533,377,758, is 1.

Now, the common factors can be found like this.

288:2x 2x 2x 2x 2x 3x 3

533:13x 41

377:13x 29

758:2x 379

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 43866224064/(1x26)

LCM = 43866224064/26

LCM = 1687162464

Thus, we can understand that the LCM of 288,533,377,758 is 1687162464.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 288, 533, 377, 758

1. What is the LCM of 288, 533, 377, 758?

Answer: LCM of 288, 533, 377, 758 is 1687162464.

2. How to calculate the LCM of 288, 533, 377, 758?

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 288, 533, 377, 758.

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}.