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LCM of 345, 828, 738, 728

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


Find the LCM of 345, 828, 738, 728 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 345, 828, 738, 728. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 345,828,738,728

Given numbers are 345,828,738,728

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

The LCM of 345,828,738,728 is 30892680.

Find LCM of 345,828,738,728 with Prime Factorization


2 345, 828, 738, 728
2 345, 414, 369, 364
3 345, 207, 369, 182
3 115, 69, 123, 182
23 115, 23, 41, 182
5, 1, 41, 182

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

2 x 2 x 3 x 3 x 23 x 5 x 1 x 41 x 182 = 30892680

Therefore, the lowest common multiple of 345,828,738,728 is 30892680.

LCM Formula to Find Lowest Common Multiple of 345,828,738,728

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.

345 x 828 x 738 x 728 = 153474834240

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.

345 : 1, 3, 5, 15, 23, 69, 115, 345

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,828,738,728, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

828:2x 2x 3x 3x 23

738:2x 3x 3x 41

728:2x 2x 2x 7x 13

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

2x 2x 2x 3x 3x 3x 23 = 4968

Therefore, the value for common factors is 4968.

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 = 153474834240/(1x4968)

LCM = 153474834240/4968

LCM = 30892680

Thus, we can understand that the LCM of 345,828,738,728 is 30892680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 345, 828, 738, 728

1. What is the LCM of 345, 828, 738, 728?

Answer: LCM of 345, 828, 738, 728 is 30892680.

2. How to calculate the LCM of 345, 828, 738, 728?

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 345, 828, 738, 728.

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}.