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LCM of 105, 589, 434, 456

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


Find the LCM of 105, 589, 434, 456 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 105, 589, 434, 456. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 105,589,434,456

Given numbers are 105,589,434,456

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

The LCM of 105,589,434,456 is 494760.

Find LCM of 105,589,434,456 with Prime Factorization


2 105, 589, 434, 456
3 105, 589, 217, 228
7 35, 589, 217, 76
19 5, 589, 31, 76
31 5, 31, 31, 4
5, 1, 1, 4

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

2 x 3 x 7 x 19 x 31 x 5 x 1 x 1 x 4 = 494760

Therefore, the lowest common multiple of 105,589,434,456 is 494760.

LCM Formula to Find Lowest Common Multiple of 105,589,434,456

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.

105 x 589 x 434 x 456 = 12239372880

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.

105 : 1, 3, 5, 7, 15, 21, 35, 105

589 : 1, 19, 31, 589

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

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,589,434,456, is 1.

Now, the common factors can be found like this.

105:3x 5x 7

589:19x 31

434:2x 7x 31

456:2x 2x 2x 3x 19

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 7x 19x 31 = 24738

Therefore, the value for common factors is 24738.

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 = 12239372880/(1x24738)

LCM = 12239372880/24738

LCM = 494760

Thus, we can understand that the LCM of 105,589,434,456 is 494760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 105, 589, 434, 456

1. What is the LCM of 105, 589, 434, 456?

Answer: LCM of 105, 589, 434, 456 is 494760.

2. How to calculate the LCM of 105, 589, 434, 456?

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 105, 589, 434, 456.

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}.