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LCM of 513, 315, 309, 173, 763

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


Find the LCM of 513, 315, 309, 173, 763 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 513, 315, 309, 173, 763. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 513,315,309,173,763

Given numbers are 513,315,309,173,763

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

The LCM of 513,315,309,173,763 is 34873475805.

Find LCM of 513,315,309,173,763 with Prime Factorization


3 513, 315, 309, 173, 763
3 171, 105, 103, 173, 763
7 57, 35, 103, 173, 763
57, 5, 103, 173, 109

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

3 x 3 x 7 x 57 x 5 x 103 x 173 x 109 = 34873475805

Therefore, the lowest common multiple of 513,315,309,173,763 is 34873475805.

LCM Formula to Find Lowest Common Multiple of 513,315,309,173,763

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.

513 x 315 x 309 x 173 x 763 = 6591086927145

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.

513 : 1, 3, 9, 19, 27, 57, 171, 513

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

309 : 1, 3, 103, 309

173 : 1, 173

763 : 1, 7, 109, 763

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,315,309,173,763, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

315:3x 3x 5x 7

309:3x 103

173:173

763:7x 109

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 3x 7 = 189

Therefore, the value for common factors is 189.

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 = 6591086927145/(1x189)

LCM = 6591086927145/189

LCM = 34873475805

Thus, we can understand that the LCM of 513,315,309,173,763 is 34873475805.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 513, 315, 309, 173, 763

1. What is the LCM of 513, 315, 309, 173, 763?

Answer: LCM of 513, 315, 309, 173, 763 is 34873475805.

2. How to calculate the LCM of 513, 315, 309, 173, 763?

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 513, 315, 309, 173, 763.

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}.