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LCM of 769, 272, 323, 818, 335

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


Find the LCM of 769, 272, 323, 818, 335 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 769, 272, 323, 818, 335. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 769,272,323,818,335

Given numbers are 769,272,323,818,335

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

The LCM of 769,272,323,818,335 is 544523916880.

Find LCM of 769,272,323,818,335 with Prime Factorization


2 769, 272, 323, 818, 335
17 769, 136, 323, 409, 335
769, 8, 19, 409, 335

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

2 x 17 x 769 x 8 x 19 x 409 x 335 = 544523916880

Therefore, the lowest common multiple of 769,272,323,818,335 is 544523916880.

LCM Formula to Find Lowest Common Multiple of 769,272,323,818,335

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.

769 x 272 x 323 x 818 x 335 = 18513813173920

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.

769 : 1, 769

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

323 : 1, 17, 19, 323

818 : 1, 2, 409, 818

335 : 1, 5, 67, 335

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,272,323,818,335, is 1.

Now, the common factors can be found like this.

769:769

272:2x 2x 2x 2x 17

323:17x 19

818:2x 409

335:5x 67

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 18513813173920/(1x34)

LCM = 18513813173920/34

LCM = 544523916880

Thus, we can understand that the LCM of 769,272,323,818,335 is 544523916880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 769, 272, 323, 818, 335

1. What is the LCM of 769, 272, 323, 818, 335?

Answer: LCM of 769, 272, 323, 818, 335 is 544523916880.

2. How to calculate the LCM of 769, 272, 323, 818, 335?

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 769, 272, 323, 818, 335.

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}.