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LCM of 514, 315, 514, 423

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


Find the LCM of 514, 315, 514, 423 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 514, 315, 514, 423. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 514,315,514,423

Given numbers are 514,315,514,423

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

The LCM of 514,315,514,423 is 7609770.

Find LCM of 514,315,514,423 with Prime Factorization


2 514, 315, 514, 423
3 257, 315, 257, 423
3 257, 105, 257, 141
257 257, 35, 257, 47
1, 35, 1, 47

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

2 x 3 x 3 x 257 x 1 x 35 x 1 x 47 = 7609770

Therefore, the lowest common multiple of 514,315,514,423 is 7609770.

LCM Formula to Find Lowest Common Multiple of 514,315,514,423

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.

514 x 315 x 514 x 423 = 35202796020

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.

514 : 1, 2, 257, 514

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

514 : 1, 2, 257, 514

423 : 1, 3, 9, 47, 141, 423

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,315,514,423, is 1.

Now, the common factors can be found like this.

514:2x 257

315:3x 3x 5x 7

514:2x 257

423:3x 3x 47

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 257 = 4626

Therefore, the value for common factors is 4626.

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 = 35202796020/(1x4626)

LCM = 35202796020/4626

LCM = 7609770

Thus, we can understand that the LCM of 514,315,514,423 is 7609770.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 514, 315, 514, 423

1. What is the LCM of 514, 315, 514, 423?

Answer: LCM of 514, 315, 514, 423 is 7609770.

2. How to calculate the LCM of 514, 315, 514, 423?

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 514, 315, 514, 423.

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}.