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LCM of 736, 214, 678, 452

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


Find the LCM of 736, 214, 678, 452 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 736, 214, 678, 452. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 736,214,678,452

Given numbers are 736,214,678,452

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

The LCM of 736,214,678,452 is 26696928.

Find LCM of 736,214,678,452 with Prime Factorization


2 736, 214, 678, 452
2 368, 107, 339, 226
113 184, 107, 339, 113
184, 107, 3, 1

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

2 x 2 x 113 x 184 x 107 x 3 x 1 = 26696928

Therefore, the lowest common multiple of 736,214,678,452 is 26696928.

LCM Formula to Find Lowest Common Multiple of 736,214,678,452

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.

736 x 214 x 678 x 452 = 48268045824

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.

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

214 : 1, 2, 107, 214

678 : 1, 2, 3, 6, 113, 226, 339, 678

452 : 1, 2, 4, 113, 226, 452

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,214,678,452, is 2.

Now, the common factors can be found like this.

736:2x 2x 2x 2x 2x 23

214:2x 107

678:2x 3x 113

452:2x 2x 113

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 113 = 904

Therefore, the value for common factors is 904.

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 = 48268045824/(2x904)

LCM = 48268045824/1808

LCM = 26696928

Thus, we can understand that the LCM of 736,214,678,452 is 26696928.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 736, 214, 678, 452

1. What is the LCM of 736, 214, 678, 452?

Answer: LCM of 736, 214, 678, 452 is 26696928.

2. How to calculate the LCM of 736, 214, 678, 452?

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 736, 214, 678, 452.

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}.