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LCM of 262, 450, 289, 434

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


Find the LCM of 262, 450, 289, 434 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 262, 450, 289, 434. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 262,450,289,434

Given numbers are 262,450,289,434

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

The LCM of 262,450,289,434 is 3696931350.

Find LCM of 262,450,289,434 with Prime Factorization


2 262, 450, 289, 434
131, 225, 289, 217

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

2 x 131 x 225 x 289 x 217 = 3696931350

Therefore, the lowest common multiple of 262,450,289,434 is 3696931350.

LCM Formula to Find Lowest Common Multiple of 262,450,289,434

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.

262 x 450 x 289 x 434 = 14787725400

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.

262 : 1, 2, 131, 262

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

289 : 1, 17, 289

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 262,450,289,434, is 1.

Now, the common factors can be found like this.

262:2x 131

450:2x 3x 3x 5x 5

289:17x 17

434:2x 7x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 14787725400/(1x4)

LCM = 14787725400/4

LCM = 3696931350

Thus, we can understand that the LCM of 262,450,289,434 is 3696931350.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 262, 450, 289, 434

1. What is the LCM of 262, 450, 289, 434?

Answer: LCM of 262, 450, 289, 434 is 3696931350.

2. How to calculate the LCM of 262, 450, 289, 434?

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 262, 450, 289, 434.

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}.