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LCM of 269, 269, 493, 391, 470

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


Find the LCM of 269, 269, 493, 391, 470 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 269, 269, 493, 391, 470. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 269,269,493,391,470

Given numbers are 269,269,493,391,470

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

The LCM of 269,269,493,391,470 is 1433589770.

Find LCM of 269,269,493,391,470 with Prime Factorization


17 269, 269, 493, 391, 470
269 269, 269, 29, 23, 470
1, 1, 29, 23, 470

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

17 x 269 x 1 x 1 x 29 x 23 x 470 = 1433589770

Therefore, the lowest common multiple of 269,269,493,391,470 is 1433589770.

LCM Formula to Find Lowest Common Multiple of 269,269,493,391,470

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.

269 x 269 x 493 x 391 x 470 = 6555806018210

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.

269 : 1, 269

269 : 1, 269

493 : 1, 17, 29, 493

391 : 1, 17, 23, 391

470 : 1, 2, 5, 10, 47, 94, 235, 470

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,269,493,391,470, is 1.

Now, the common factors can be found like this.

269:269

269:269

493:17x 29

391:17x 23

470:2x 5x 47

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

17x 269 = 4573

Therefore, the value for common factors is 4573.

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 = 6555806018210/(1x4573)

LCM = 6555806018210/4573

LCM = 1433589770

Thus, we can understand that the LCM of 269,269,493,391,470 is 1433589770.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 269, 269, 493, 391, 470

1. What is the LCM of 269, 269, 493, 391, 470?

Answer: LCM of 269, 269, 493, 391, 470 is 1433589770.

2. How to calculate the LCM of 269, 269, 493, 391, 470?

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 269, 269, 493, 391, 470.

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}.