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LCM of 276, 384, 530, 690

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


Find the LCM of 276, 384, 530, 690 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 276, 384, 530, 690. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 276,384,530,690

Given numbers are 276,384,530,690

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

The LCM of 276,384,530,690 is 2340480.

Find LCM of 276,384,530,690 with Prime Factorization


2 276, 384, 530, 690
2 138, 192, 265, 345
3 69, 96, 265, 345
5 23, 32, 265, 115
23 23, 32, 53, 23
1, 32, 53, 1

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

2 x 2 x 3 x 5 x 23 x 1 x 32 x 53 x 1 = 2340480

Therefore, the lowest common multiple of 276,384,530,690 is 2340480.

LCM Formula to Find Lowest Common Multiple of 276,384,530,690

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.

276 x 384 x 530 x 690 = 38758348800

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.

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

530 : 1, 2, 5, 10, 53, 106, 265, 530

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,384,530,690, is 2.

Now, the common factors can be found like this.

276:2x 2x 3x 23

384:2x 2x 2x 2x 2x 2x 2x 3

530:2x 5x 53

690:2x 3x 5x 23

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 3x 5x 23 = 8280

Therefore, the value for common factors is 8280.

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 = 38758348800/(2x8280)

LCM = 38758348800/16560

LCM = 2340480

Thus, we can understand that the LCM of 276,384,530,690 is 2340480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 276, 384, 530, 690

1. What is the LCM of 276, 384, 530, 690?

Answer: LCM of 276, 384, 530, 690 is 2340480.

2. How to calculate the LCM of 276, 384, 530, 690?

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 276, 384, 530, 690.

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}.