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LCM of 182, 377, 596, 962, 728

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


Find the LCM of 182, 377, 596, 962, 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 182, 377, 596, 962, 728. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 182,377,596,962,728

Given numbers are 182,377,596,962,728

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

The LCM of 182,377,596,962,728 is 116390456.

Find LCM of 182,377,596,962,728 with Prime Factorization


2 182, 377, 596, 962, 728
2 91, 377, 298, 481, 364
7 91, 377, 149, 481, 182
13 13, 377, 149, 481, 26
1, 29, 149, 37, 2

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

2 x 2 x 7 x 13 x 1 x 29 x 149 x 37 x 2 = 116390456

Therefore, the lowest common multiple of 182,377,596,962,728 is 116390456.

LCM Formula to Find Lowest Common Multiple of 182,377,596,962,728

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.

182 x 377 x 596 x 962 x 728 = 28639501165184

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.

182 : 1, 2, 7, 13, 14, 26, 91, 182

377 : 1, 13, 29, 377

596 : 1, 2, 4, 149, 298, 596

962 : 1, 2, 13, 26, 37, 74, 481, 962

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 182,377,596,962,728, is 1.

Now, the common factors can be found like this.

182:2x 7x 13

377:13x 29

596:2x 2x 149

962:2x 13x 37

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 2x 7x 13x 13x 13 = 246064

Therefore, the value for common factors is 246064.

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 = 28639501165184/(1x246064)

LCM = 28639501165184/246064

LCM = 116390456

Thus, we can understand that the LCM of 182,377,596,962,728 is 116390456.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 182, 377, 596, 962, 728

1. What is the LCM of 182, 377, 596, 962, 728?

Answer: LCM of 182, 377, 596, 962, 728 is 116390456.

2. How to calculate the LCM of 182, 377, 596, 962, 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 182, 377, 596, 962, 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}.