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LCM of 469, 524, 262, 289

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


Find the LCM of 469, 524, 262, 289 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 469, 524, 262, 289. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 469,524,262,289

Given numbers are 469,524,262,289

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

The LCM of 469,524,262,289 is 71023484.

Find LCM of 469,524,262,289 with Prime Factorization


2 469, 524, 262, 289
131 469, 262, 131, 289
469, 2, 1, 289

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

2 x 131 x 469 x 2 x 1 x 289 = 71023484

Therefore, the lowest common multiple of 469,524,262,289 is 71023484.

LCM Formula to Find Lowest Common Multiple of 469,524,262,289

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.

469 x 524 x 262 x 289 = 18608152808

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.

469 : 1, 7, 67, 469

524 : 1, 2, 4, 131, 262, 524

262 : 1, 2, 131, 262

289 : 1, 17, 289

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,524,262,289, is 1.

Now, the common factors can be found like this.

469:7x 67

524:2x 2x 131

262:2x 131

289:17x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 131 = 262

Therefore, the value for common factors is 262.

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 = 18608152808/(1x262)

LCM = 18608152808/262

LCM = 71023484

Thus, we can understand that the LCM of 469,524,262,289 is 71023484.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 469, 524, 262, 289

1. What is the LCM of 469, 524, 262, 289?

Answer: LCM of 469, 524, 262, 289 is 71023484.

2. How to calculate the LCM of 469, 524, 262, 289?

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 469, 524, 262, 289.

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}.