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LCM of 783, 203, 824, 288

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


Find the LCM of 783, 203, 824, 288 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 783, 203, 824, 288. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 783,203,824,288

Given numbers are 783,203,824,288

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

The LCM of 783,203,824,288 is 18065376.

Find LCM of 783,203,824,288 with Prime Factorization


2 783, 203, 824, 288
2 783, 203, 412, 144
2 783, 203, 206, 72
3 783, 203, 103, 36
3 261, 203, 103, 12
29 87, 203, 103, 4
3, 7, 103, 4

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

2 x 2 x 2 x 3 x 3 x 29 x 3 x 7 x 103 x 4 = 18065376

Therefore, the lowest common multiple of 783,203,824,288 is 18065376.

LCM Formula to Find Lowest Common Multiple of 783,203,824,288

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.

783 x 203 x 824 x 288 = 37720505088

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.

783 : 1, 3, 9, 27, 29, 87, 261, 783

203 : 1, 7, 29, 203

824 : 1, 2, 4, 8, 103, 206, 412, 824

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 783,203,824,288, is 1.

Now, the common factors can be found like this.

783:3x 3x 3x 29

203:7x 29

824:2x 2x 2x 103

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

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 3x 3x 29 = 2088

Therefore, the value for common factors is 2088.

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 = 37720505088/(1x2088)

LCM = 37720505088/2088

LCM = 18065376

Thus, we can understand that the LCM of 783,203,824,288 is 18065376.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 783, 203, 824, 288

1. What is the LCM of 783, 203, 824, 288?

Answer: LCM of 783, 203, 824, 288 is 18065376.

2. How to calculate the LCM of 783, 203, 824, 288?

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 783, 203, 824, 288.

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}.