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LCM of 540, 474, 872, 706

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


Find the LCM of 540, 474, 872, 706 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 540, 474, 872, 706. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 540,474,872,706

Given numbers are 540,474,872,706

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

The LCM of 540,474,872,706 is 3282857640.

Find LCM of 540,474,872,706 with Prime Factorization


2 540, 474, 872, 706
2 270, 237, 436, 353
3 135, 237, 218, 353
45, 79, 218, 353

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

2 x 2 x 3 x 45 x 79 x 218 x 353 = 3282857640

Therefore, the lowest common multiple of 540,474,872,706 is 3282857640.

LCM Formula to Find Lowest Common Multiple of 540,474,872,706

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.

540 x 474 x 872 x 706 = 157577166720

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.

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

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

872 : 1, 2, 4, 8, 109, 218, 436, 872

706 : 1, 2, 353, 706

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,474,872,706, is 2.

Now, the common factors can be found like this.

540:2x 2x 3x 3x 3x 5

474:2x 3x 79

872:2x 2x 2x 109

706:2x 353

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 3 = 24

Therefore, the value for common factors is 24.

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 = 157577166720/(2x24)

LCM = 157577166720/48

LCM = 3282857640

Thus, we can understand that the LCM of 540,474,872,706 is 3282857640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 540, 474, 872, 706

1. What is the LCM of 540, 474, 872, 706?

Answer: LCM of 540, 474, 872, 706 is 3282857640.

2. How to calculate the LCM of 540, 474, 872, 706?

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 540, 474, 872, 706.

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}.