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LCM of 514, 350, 784, 455

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


Find the LCM of 514, 350, 784, 455 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, 350, 784, 455. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 514,350,784,455

Given numbers are 514,350,784,455

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

The LCM of 514,350,784,455 is 65483600.

Find LCM of 514,350,784,455 with Prime Factorization


2 514, 350, 784, 455
5 257, 175, 392, 455
7 257, 35, 392, 91
257, 5, 56, 13

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

2 x 5 x 7 x 257 x 5 x 56 x 13 = 65483600

Therefore, the lowest common multiple of 514,350,784,455 is 65483600.

LCM Formula to Find Lowest Common Multiple of 514,350,784,455

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 350 x 784 x 455 = 64173928000

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

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

455 : 1, 5, 7, 13, 35, 65, 91, 455

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,350,784,455, is 1.

Now, the common factors can be found like this.

514:2x 257

350:2x 5x 5x 7

784:2x 2x 2x 2x 7x 7

455:5x 7x 13

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 5x 7x 7 = 980

Therefore, the value for common factors is 980.

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 = 64173928000/(1x980)

LCM = 64173928000/980

LCM = 65483600

Thus, we can understand that the LCM of 514,350,784,455 is 65483600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 514, 350, 784, 455

1. What is the LCM of 514, 350, 784, 455?

Answer: LCM of 514, 350, 784, 455 is 65483600.

2. How to calculate the LCM of 514, 350, 784, 455?

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, 350, 784, 455.

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}.