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LCM of 173, 303, 676, 603, 783

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


Find the LCM of 173, 303, 676, 603, 783 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 173, 303, 676, 603, 783. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 173,303,676,603,783

Given numbers are 173,303,676,603,783

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

The LCM of 173,303,676,603,783 is 619656111828.

Find LCM of 173,303,676,603,783 with Prime Factorization


3 173, 303, 676, 603, 783
3 173, 101, 676, 201, 261
173, 101, 676, 67, 87

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

3 x 3 x 173 x 101 x 676 x 67 x 87 = 619656111828

Therefore, the lowest common multiple of 173,303,676,603,783 is 619656111828.

LCM Formula to Find Lowest Common Multiple of 173,303,676,603,783

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.

173 x 303 x 676 x 603 x 783 = 16730715019356

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.

173 : 1, 173

303 : 1, 3, 101, 303

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

603 : 1, 3, 9, 67, 201, 603

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 173,303,676,603,783, is 1.

Now, the common factors can be found like this.

173:173

303:3x 101

676:2x 2x 13x 13

603:3x 3x 67

783:3x 3x 3x 29

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 16730715019356/(1x27)

LCM = 16730715019356/27

LCM = 619656111828

Thus, we can understand that the LCM of 173,303,676,603,783 is 619656111828.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 173, 303, 676, 603, 783

1. What is the LCM of 173, 303, 676, 603, 783?

Answer: LCM of 173, 303, 676, 603, 783 is 619656111828.

2. How to calculate the LCM of 173, 303, 676, 603, 783?

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 173, 303, 676, 603, 783.

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}.