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LCM of 248, 698, 288, 829

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


Find the LCM of 248, 698, 288, 829 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 248, 698, 288, 829. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 248,698,288,829

Given numbers are 248,698,288,829

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

The LCM of 248,698,288,829 is 2583057888.

Find LCM of 248,698,288,829 with Prime Factorization


2 248, 698, 288, 829
2 124, 349, 144, 829
2 62, 349, 72, 829
31, 349, 36, 829

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

2 x 2 x 2 x 31 x 349 x 36 x 829 = 2583057888

Therefore, the lowest common multiple of 248,698,288,829 is 2583057888.

LCM Formula to Find Lowest Common Multiple of 248,698,288,829

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.

248 x 698 x 288 x 829 = 41328926208

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.

248 : 1, 2, 4, 8, 31, 62, 124, 248

698 : 1, 2, 349, 698

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 248,698,288,829, is 1.

Now, the common factors can be found like this.

248:2x 2x 2x 31

698:2x 349

288:2x 2x 2x 2x 2x 3x 3

829:829

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 2 = 16

Therefore, the value for common factors is 16.

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 = 41328926208/(1x16)

LCM = 41328926208/16

LCM = 2583057888

Thus, we can understand that the LCM of 248,698,288,829 is 2583057888.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 248, 698, 288, 829

1. What is the LCM of 248, 698, 288, 829?

Answer: LCM of 248, 698, 288, 829 is 2583057888.

2. How to calculate the LCM of 248, 698, 288, 829?

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 248, 698, 288, 829.

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}.