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LCM of 234, 559, 559, 790, 248

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


Find the LCM of 234, 559, 559, 790, 248 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 234, 559, 559, 790, 248. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 234,559,559,790,248

Given numbers are 234,559,559,790,248

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

The LCM of 234,559,559,790,248 is 492836760.

Find LCM of 234,559,559,790,248 with Prime Factorization


2 234, 559, 559, 790, 248
13 117, 559, 559, 395, 124
43 9, 43, 43, 395, 124
9, 1, 1, 395, 124

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

2 x 13 x 43 x 9 x 1 x 1 x 395 x 124 = 492836760

Therefore, the lowest common multiple of 234,559,559,790,248 is 492836760.

LCM Formula to Find Lowest Common Multiple of 234,559,559,790,248

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.

234 x 559 x 559 x 790 x 248 = 14325778939680

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.

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

559 : 1, 13, 43, 559

559 : 1, 13, 43, 559

790 : 1, 2, 5, 10, 79, 158, 395, 790

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,559,559,790,248, is 1.

Now, the common factors can be found like this.

234:2x 3x 3x 13

559:13x 43

559:13x 43

790:2x 5x 79

248:2x 2x 2x 31

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 13x 13x 43 = 29068

Therefore, the value for common factors is 29068.

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 = 14325778939680/(1x29068)

LCM = 14325778939680/29068

LCM = 492836760

Thus, we can understand that the LCM of 234,559,559,790,248 is 492836760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 234, 559, 559, 790, 248

1. What is the LCM of 234, 559, 559, 790, 248?

Answer: LCM of 234, 559, 559, 790, 248 is 492836760.

2. How to calculate the LCM of 234, 559, 559, 790, 248?

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 234, 559, 559, 790, 248.

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}.