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LCM of 156, 738, 451, 560

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


Find the LCM of 156, 738, 451, 560 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 156, 738, 451, 560. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 156,738,451,560

Given numbers are 156,738,451,560

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

The LCM of 156,738,451,560 is 29549520.

Find LCM of 156,738,451,560 with Prime Factorization


2 156, 738, 451, 560
2 78, 369, 451, 280
3 39, 369, 451, 140
41 13, 123, 451, 140
13, 3, 11, 140

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

2 x 2 x 3 x 41 x 13 x 3 x 11 x 140 = 29549520

Therefore, the lowest common multiple of 156,738,451,560 is 29549520.

LCM Formula to Find Lowest Common Multiple of 156,738,451,560

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.

156 x 738 x 451 x 560 = 29076727680

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.

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

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

451 : 1, 11, 41, 451

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 156,738,451,560, is 1.

Now, the common factors can be found like this.

156:2x 2x 3x 13

738:2x 3x 3x 41

451:11x 41

560:2x 2x 2x 2x 5x 7

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 41 = 984

Therefore, the value for common factors is 984.

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 = 29076727680/(1x984)

LCM = 29076727680/984

LCM = 29549520

Thus, we can understand that the LCM of 156,738,451,560 is 29549520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 156, 738, 451, 560

1. What is the LCM of 156, 738, 451, 560?

Answer: LCM of 156, 738, 451, 560 is 29549520.

2. How to calculate the LCM of 156, 738, 451, 560?

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 156, 738, 451, 560.

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}.