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LCM of 509, 782, 276, 584

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


Find the LCM of 509, 782, 276, 584 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 509, 782, 276, 584. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 509,782,276,584

Given numbers are 509,782,276,584

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

The LCM of 509,782,276,584 is 348681288.

Find LCM of 509,782,276,584 with Prime Factorization


2 509, 782, 276, 584
2 509, 391, 138, 292
23 509, 391, 69, 146
509, 17, 3, 146

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

2 x 2 x 23 x 509 x 17 x 3 x 146 = 348681288

Therefore, the lowest common multiple of 509,782,276,584 is 348681288.

LCM Formula to Find Lowest Common Multiple of 509,782,276,584

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.

509 x 782 x 276 x 584 = 64157356992

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.

509 : 1, 509

782 : 1, 2, 17, 23, 34, 46, 391, 782

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

584 : 1, 2, 4, 8, 73, 146, 292, 584

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,782,276,584, is 1.

Now, the common factors can be found like this.

509:509

782:2x 17x 23

276:2x 2x 3x 23

584:2x 2x 2x 73

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 23 = 184

Therefore, the value for common factors is 184.

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 = 64157356992/(1x184)

LCM = 64157356992/184

LCM = 348681288

Thus, we can understand that the LCM of 509,782,276,584 is 348681288.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 509, 782, 276, 584

1. What is the LCM of 509, 782, 276, 584?

Answer: LCM of 509, 782, 276, 584 is 348681288.

2. How to calculate the LCM of 509, 782, 276, 584?

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 509, 782, 276, 584.

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}.