Given numbers are 560,574,714,906,850

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

The LCM of 560,574,714,906,850 is 884074800.

Find LCM of 560,574,714,906,850 with Prime Factorization

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

2 x 3 x 5 x 7 x 17 x 8 x 41 x 1 x 151 x 5 = 884074800

Therefore, the lowest common multiple of 560,574,714,906,850 is 884074800.

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.

560 x 574 x 714 x 906 x 850 = 176744234016000

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.

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

574 : 1, 2, 7, 14, 41, 82, 287, 574

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

906 : 1, 2, 3, 6, 151, 302, 453, 906

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,574,714,906,850, is 2.

Now, the common factors can be found like this.

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

574:2x 7x 41

714:2x 3x 7x 17

906:2x 3x 151

850:2x 5x 5x 17

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 5x 7x 7x 17 = 99960

Therefore, the value for common factors is 99960.

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 = 176744234016000/(2x99960)

LCM = 176744234016000/199920

LCM = 884074800

Thus, we can understand that the LCM of 560,574,714,906,850 is 884074800.

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

• LCM of 958, 818, 828, 569, 104
• LCM of 884, 598, 458, 337, 801
• LCM of 331, 342, 770, 132, 320
• LCM of 172, 669, 715, 781, 238
• LCM of 504, 760, 514, 478, 515

1. What is the LCM of 560, 574, 714, 906, 850?

Answer: LCM of 560, 574, 714, 906, 850 is 884074800.

2. How to calculate the LCM of 560, 574, 714, 906, 850?

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 560, 574, 714, 906, 850.

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}.