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LCM of 349, 803, 803, 231

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


Find the LCM of 349, 803, 803, 231 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 349, 803, 803, 231. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 349,803,803,231

Given numbers are 349,803,803,231

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

The LCM of 349,803,803,231 is 5885187.

Find LCM of 349,803,803,231 with Prime Factorization


11 349, 803, 803, 231
73 349, 73, 73, 21
349, 1, 1, 21

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

11 x 73 x 349 x 1 x 1 x 21 = 5885187

Therefore, the lowest common multiple of 349,803,803,231 is 5885187.

LCM Formula to Find Lowest Common Multiple of 349,803,803,231

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.

349 x 803 x 803 x 231 = 51983856771

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.

349 : 1, 349

803 : 1, 11, 73, 803

803 : 1, 11, 73, 803

231 : 1, 3, 7, 11, 21, 33, 77, 231

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,803,803,231, is 1.

Now, the common factors can be found like this.

349:349

803:11x 73

803:11x 73

231:3x 7x 11

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 73 = 8833

Therefore, the value for common factors is 8833.

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 = 51983856771/(1x8833)

LCM = 51983856771/8833

LCM = 5885187

Thus, we can understand that the LCM of 349,803,803,231 is 5885187.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 349, 803, 803, 231

1. What is the LCM of 349, 803, 803, 231?

Answer: LCM of 349, 803, 803, 231 is 5885187.

2. How to calculate the LCM of 349, 803, 803, 231?

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 349, 803, 803, 231.

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}.