Given numbers are 710,550,490,560

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

The LCM of 710,550,490,560 is 15307600.

Find LCM of 710,550,490,560 with Prime Factorization

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

2 x 5 x 7 x 71 x 55 x 7 x 8 = 15307600

Therefore, the lowest common multiple of 710,550,490,560 is 15307600.

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.

710 x 550 x 490 x 560 = 107153200000

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.

710 : 1, 2, 5, 10, 71, 142, 355, 710

550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

10 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 710,550,490,560, is 10.

Now, the common factors can be found like this.

710:2x 5x 71

550:2x 5x 5x 11

490:2x 5x 7x 7

560:2x 2x 2x 2x 5x 7

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 5x 5x 7 = 700

Therefore, the value for common factors is 700.

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 = 107153200000/(10x700)

LCM = 107153200000/7000

LCM = 15307600

Thus, we can understand that the LCM of 710,550,490,560 is 15307600.

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

• LCM of 410, 153, 747, 674
• LCM of 554, 463, 419, 858
• LCM of 130, 666, 919, 577
• LCM of 567, 656, 993, 168
• LCM of 426, 266, 315, 373

1. What is the LCM of 710, 550, 490, 560?

Answer: LCM of 710, 550, 490, 560 is 15307600.

2. How to calculate the LCM of 710, 550, 490, 560?

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 710, 550, 490, 560.

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}.