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LCM of 295, 767, 419, 299, 352

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


Find the LCM of 295, 767, 419, 299, 352 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 295, 767, 419, 299, 352. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 295,767,419,299,352

Given numbers are 295,767,419,299,352

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

The LCM of 295,767,419,299,352 is 13009179040.

Find LCM of 295,767,419,299,352 with Prime Factorization


13 295, 767, 419, 299, 352
59 295, 59, 419, 23, 352
5, 1, 419, 23, 352

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

13 x 59 x 5 x 1 x 419 x 23 x 352 = 13009179040

Therefore, the lowest common multiple of 295,767,419,299,352 is 13009179040.

LCM Formula to Find Lowest Common Multiple of 295,767,419,299,352

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.

295 x 767 x 419 x 299 x 352 = 9978040323680

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.

295 : 1, 5, 59, 295

767 : 1, 13, 59, 767

419 : 1, 419

299 : 1, 13, 23, 299

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 295,767,419,299,352, is 1.

Now, the common factors can be found like this.

295:5x 59

767:13x 59

419:419

299:13x 23

352:2x 2x 2x 2x 2x 11

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

13x 59 = 767

Therefore, the value for common factors is 767.

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 = 9978040323680/(1x767)

LCM = 9978040323680/767

LCM = 13009179040

Thus, we can understand that the LCM of 295,767,419,299,352 is 13009179040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 295, 767, 419, 299, 352

1. What is the LCM of 295, 767, 419, 299, 352?

Answer: LCM of 295, 767, 419, 299, 352 is 13009179040.

2. How to calculate the LCM of 295, 767, 419, 299, 352?

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 295, 767, 419, 299, 352.

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}.