Given numbers are 509,509,706,682

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

The LCM of 509,509,706,682 is 122539714.

Find LCM of 509,509,706,682 with Prime Factorization

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

2 x 509 x 1 x 1 x 353 x 341 = 122539714

Therefore, the lowest common multiple of 509,509,706,682 is 122539714.

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 509 x 706 x 682 = 124745428852

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

509 : 1, 509

706 : 1, 2, 353, 706

682 : 1, 2, 11, 22, 31, 62, 341, 682

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,509,706,682, is 1.

Now, the common factors can be found like this.

509:509

509:509

706:2x 353

682:2x 11x 31

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 509 = 1018

Therefore, the value for common factors is 1018.

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 = 124745428852/(1x1018)

LCM = 124745428852/1018

LCM = 122539714

Thus, we can understand that the LCM of 509,509,706,682 is 122539714.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 998, 373, 110, 835
• LCM of 427, 284, 888, 929
• LCM of 339, 592, 179, 851
• LCM of 589, 329, 919, 590
• LCM of 667, 312, 392, 535

1. What is the LCM of 509, 509, 706, 682?

Answer: LCM of 509, 509, 706, 682 is 122539714.

2. How to calculate the LCM of 509, 509, 706, 682?

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, 509, 706, 682.

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}.