Given numbers are 682,133,176,824,704

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

The LCM of 682,133,176,824,704 is 298966976.

Find LCM of 682,133,176,824,704 with Prime Factorization

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

2 x 2 x 2 x 2 x 11 x 31 x 133 x 1 x 103 x 4 = 298966976

Therefore, the lowest common multiple of 682,133,176,824,704 is 298966976.

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.

682 x 133 x 176 x 824 x 704 = 9260801048576

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.

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

133 : 1, 7, 19, 133

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

824 : 1, 2, 4, 8, 103, 206, 412, 824

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,133,176,824,704, is 1.

Now, the common factors can be found like this.

682:2x 11x 31

133:7x 19

176:2x 2x 2x 2x 11

824:2x 2x 2x 103

704:2x 2x 2x 2x 2x 2x 11

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 2x 2x 2x 2x 2x 11x 11 = 30976

Therefore, the value for common factors is 30976.

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 = 9260801048576/(1x30976)

LCM = 9260801048576/30976

LCM = 298966976

Thus, we can understand that the LCM of 682,133,176,824,704 is 298966976.

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

• LCM of 940, 549, 807, 947, 289
• LCM of 594, 485, 425, 718, 388
• LCM of 286, 104, 841, 429, 745
• LCM of 517, 461, 966, 332, 989
• LCM of 948, 861, 774, 151, 705

1. What is the LCM of 682, 133, 176, 824, 704?

Answer: LCM of 682, 133, 176, 824, 704 is 298966976.

2. How to calculate the LCM of 682, 133, 176, 824, 704?

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 682, 133, 176, 824, 704.

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}.