Given numbers are 565,480,682,149,820

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

The LCM of 565,480,682,149,820 is 112991086560.

Find LCM of 565,480,682,149,820 with Prime Factorization

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

2 x 2 x 5 x 113 x 24 x 341 x 149 x 41 = 112991086560

Therefore, the lowest common multiple of 565,480,682,149,820 is 112991086560.

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.

565 x 480 x 682 x 149 x 820 = 22598217312000

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.

565 : 1, 5, 113, 565

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

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

149 : 1, 149

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,480,682,149,820, is 1.

Now, the common factors can be found like this.

565:5x 113

480:2x 2x 2x 2x 2x 3x 5

682:2x 11x 31

149:149

820:2x 2x 5x 41

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 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 22598217312000/(1x200)

LCM = 22598217312000/200

LCM = 112991086560

Thus, we can understand that the LCM of 565,480,682,149,820 is 112991086560.

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

• LCM of 963, 167, 913, 748, 372
• LCM of 193, 914, 981, 240, 949
• LCM of 278, 965, 196, 494, 171
• LCM of 696, 919, 627, 371, 607
• LCM of 664, 189, 876, 876, 231

1. What is the LCM of 565, 480, 682, 149, 820?

Answer: LCM of 565, 480, 682, 149, 820 is 112991086560.

2. How to calculate the LCM of 565, 480, 682, 149, 820?

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 565, 480, 682, 149, 820.

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}.