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LCM of 783, 783, 206, 675, 202

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


Find the LCM of 783, 783, 206, 675, 202 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, 783, 206, 675, 202. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 783,783,206,675,202

Given numbers are 783,783,206,675,202

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

The LCM of 783,783,206,675,202 is 407277450.

Find LCM of 783,783,206,675,202 with Prime Factorization


2 783, 783, 206, 675, 202
3 783, 783, 103, 675, 101
3 261, 261, 103, 225, 101
3 87, 87, 103, 75, 101
29 29, 29, 103, 25, 101
1, 1, 103, 25, 101

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

2 x 3 x 3 x 3 x 29 x 1 x 1 x 103 x 25 x 101 = 407277450

Therefore, the lowest common multiple of 783,783,206,675,202 is 407277450.

LCM Formula to Find Lowest Common Multiple of 783,783,206,675,202

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 783 x 206 x 675 x 202 = 17220505140900

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

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

206 : 1, 2, 103, 206

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

202 : 1, 2, 101, 202

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 783,783,206,675,202, is 1.

Now, the common factors can be found like this.

783:3x 3x 3x 29

783:3x 3x 3x 29

206:2x 103

675:3x 3x 3x 5x 5

202:2x 101

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 3x 3x 3x 3x 3x 29 = 42282

Therefore, the value for common factors is 42282.

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 = 17220505140900/(1x42282)

LCM = 17220505140900/42282

LCM = 407277450

Thus, we can understand that the LCM of 783,783,206,675,202 is 407277450.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 783, 783, 206, 675, 202

1. What is the LCM of 783, 783, 206, 675, 202?

Answer: LCM of 783, 783, 206, 675, 202 is 407277450.

2. How to calculate the LCM of 783, 783, 206, 675, 202?

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, 783, 206, 675, 202.

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}.