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LCM of 299, 434, 784, 124, 478

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


Find the LCM of 299, 434, 784, 124, 478 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 299, 434, 784, 124, 478. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 299,434,784,124,478

Given numbers are 299,434,784,124,478

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

The LCM of 299,434,784,124,478 is 1736788144.

Find LCM of 299,434,784,124,478 with Prime Factorization


2 299, 434, 784, 124, 478
2 299, 217, 392, 62, 239
7 299, 217, 196, 31, 239
31 299, 31, 28, 31, 239
299, 1, 28, 1, 239

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

2 x 2 x 7 x 31 x 299 x 1 x 28 x 1 x 239 = 1736788144

Therefore, the lowest common multiple of 299,434,784,124,478 is 1736788144.

LCM Formula to Find Lowest Common Multiple of 299,434,784,124,478

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.

299 x 434 x 784 x 124 x 478 = 6030128435968

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.

299 : 1, 13, 23, 299

434 : 1, 2, 7, 14, 31, 62, 217, 434

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

124 : 1, 2, 4, 31, 62, 124

478 : 1, 2, 239, 478

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,434,784,124,478, is 1.

Now, the common factors can be found like this.

299:13x 23

434:2x 7x 31

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

124:2x 2x 31

478:2x 239

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 2x 2x 7x 31 = 3472

Therefore, the value for common factors is 3472.

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 = 6030128435968/(1x3472)

LCM = 6030128435968/3472

LCM = 1736788144

Thus, we can understand that the LCM of 299,434,784,124,478 is 1736788144.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 299, 434, 784, 124, 478

1. What is the LCM of 299, 434, 784, 124, 478?

Answer: LCM of 299, 434, 784, 124, 478 is 1736788144.

2. How to calculate the LCM of 299, 434, 784, 124, 478?

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 299, 434, 784, 124, 478.

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}.