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LCM of 269, 748, 429, 299, 517

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


Find the LCM of 269, 748, 429, 299, 517 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, 748, 429, 299, 517. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 269,748,429,299,517

Given numbers are 269,748,429,299,517

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

The LCM of 269,748,429,299,517 is 8482896708.

Find LCM of 269,748,429,299,517 with Prime Factorization


11 269, 748, 429, 299, 517
13 269, 68, 39, 299, 47
269, 68, 3, 23, 47

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

11 x 13 x 269 x 68 x 3 x 23 x 47 = 8482896708

Therefore, the lowest common multiple of 269,748,429,299,517 is 8482896708.

LCM Formula to Find Lowest Common Multiple of 269,748,429,299,517

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 748 x 429 x 299 x 517 = 13343596521684

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

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

429 : 1, 3, 11, 13, 33, 39, 143, 429

299 : 1, 13, 23, 299

517 : 1, 11, 47, 517

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,748,429,299,517, is 1.

Now, the common factors can be found like this.

269:269

748:2x 2x 11x 17

429:3x 11x 13

299:13x 23

517:11x 47

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

11x 11x 13 = 1573

Therefore, the value for common factors is 1573.

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 = 13343596521684/(1x1573)

LCM = 13343596521684/1573

LCM = 8482896708

Thus, we can understand that the LCM of 269,748,429,299,517 is 8482896708.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 269, 748, 429, 299, 517

1. What is the LCM of 269, 748, 429, 299, 517?

Answer: LCM of 269, 748, 429, 299, 517 is 8482896708.

2. How to calculate the LCM of 269, 748, 429, 299, 517?

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, 748, 429, 299, 517.

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}.