Given numbers are 706,436,140,509

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

The LCM of 706,436,140,509 is 2741871020.

Find LCM of 706,436,140,509 with Prime Factorization

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

2 x 2 x 353 x 109 x 35 x 509 = 2741871020

Therefore, the lowest common multiple of 706,436,140,509 is 2741871020.

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.

706 x 436 x 140 x 509 = 21934968160

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.

706 : 1, 2, 353, 706

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

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,436,140,509, is 1.

Now, the common factors can be found like this.

706:2x 353

436:2x 2x 109

140:2x 2x 5x 7

509:509

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 2 = 8

Therefore, the value for common factors is 8.

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 = 21934968160/(1x8)

LCM = 21934968160/8

LCM = 2741871020

Thus, we can understand that the LCM of 706,436,140,509 is 2741871020.

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

• LCM of 740, 698, 190, 658
• LCM of 732, 873, 969, 160
• LCM of 441, 201, 120, 167
• LCM of 245, 755, 770, 340
• LCM of 208, 278, 937, 581

1. What is the LCM of 706, 436, 140, 509?

Answer: LCM of 706, 436, 140, 509 is 2741871020.

2. How to calculate the LCM of 706, 436, 140, 509?

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 706, 436, 140, 509.

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}.