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LCM of 474, 738, 585, 780

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


Find the LCM of 474, 738, 585, 780 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 474, 738, 585, 780. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 474,738,585,780

Given numbers are 474,738,585,780

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

The LCM of 474,738,585,780 is 7579260.

Find LCM of 474,738,585,780 with Prime Factorization


2 474, 738, 585, 780
3 237, 369, 585, 390
3 79, 123, 195, 130
5 79, 41, 65, 130
13 79, 41, 13, 26
79, 41, 1, 2

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

2 x 3 x 3 x 5 x 13 x 79 x 41 x 1 x 2 = 7579260

Therefore, the lowest common multiple of 474,738,585,780 is 7579260.

LCM Formula to Find Lowest Common Multiple of 474,738,585,780

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.

474 x 738 x 585 x 780 = 159619215600

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.

474 : 1, 2, 3, 6, 79, 158, 237, 474

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

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 474,738,585,780, is 3.

Now, the common factors can be found like this.

474:2x 3x 79

738:2x 3x 3x 41

585:3x 3x 5x 13

780:2x 2x 3x 5x 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 3x 3x 3x 5x 13 = 7020

Therefore, the value for common factors is 7020.

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 = 159619215600/(3x7020)

LCM = 159619215600/21060

LCM = 7579260

Thus, we can understand that the LCM of 474,738,585,780 is 7579260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 474, 738, 585, 780

1. What is the LCM of 474, 738, 585, 780?

Answer: LCM of 474, 738, 585, 780 is 7579260.

2. How to calculate the LCM of 474, 738, 585, 780?

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 474, 738, 585, 780.

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}.