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LCM of 302, 665, 694, 834

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


Find the LCM of 302, 665, 694, 834 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 302, 665, 694, 834. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 302,665,694,834

Given numbers are 302,665,694,834

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

The LCM of 302,665,694,834 is 29059900170.

Find LCM of 302,665,694,834 with Prime Factorization


2 302, 665, 694, 834
151, 665, 347, 417

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

2 x 151 x 665 x 347 x 417 = 29059900170

Therefore, the lowest common multiple of 302,665,694,834 is 29059900170.

LCM Formula to Find Lowest Common Multiple of 302,665,694,834

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.

302 x 665 x 694 x 834 = 116239600680

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.

302 : 1, 2, 151, 302

665 : 1, 5, 7, 19, 35, 95, 133, 665

694 : 1, 2, 347, 694

834 : 1, 2, 3, 6, 139, 278, 417, 834

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,665,694,834, is 1.

Now, the common factors can be found like this.

302:2x 151

665:5x 7x 19

694:2x 347

834:2x 3x 139

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 116239600680/(1x4)

LCM = 116239600680/4

LCM = 29059900170

Thus, we can understand that the LCM of 302,665,694,834 is 29059900170.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 302, 665, 694, 834

1. What is the LCM of 302, 665, 694, 834?

Answer: LCM of 302, 665, 694, 834 is 29059900170.

2. How to calculate the LCM of 302, 665, 694, 834?

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 302, 665, 694, 834.

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}.