Given numbers are 210,864,973,812

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

The LCM of 210,864,973,812 is 121897440.

Find LCM of 210,864,973,812 with Prime Factorization

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

2 x 2 x 3 x 7 x 5 x 72 x 139 x 29 = 121897440

Therefore, the lowest common multiple of 210,864,973,812 is 121897440.

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.

210 x 864 x 973 x 812 = 143351389440

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.

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

973 : 1, 7, 139, 973

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,864,973,812, is 1.

Now, the common factors can be found like this.

210:2x 3x 5x 7

864:2x 2x 2x 2x 2x 3x 3x 3

973:7x 139

812:2x 2x 7x 29

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 7x 7 = 1176

Therefore, the value for common factors is 1176.

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 = 143351389440/(1x1176)

LCM = 143351389440/1176

LCM = 121897440

Thus, we can understand that the LCM of 210,864,973,812 is 121897440.

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

• LCM of 105, 601, 623, 147
• LCM of 852, 216, 484, 631
• LCM of 535, 605, 370, 234
• LCM of 897, 556, 720, 200
• LCM of 756, 909, 463, 309

1. What is the LCM of 210, 864, 973, 812?

Answer: LCM of 210, 864, 973, 812 is 121897440.

2. How to calculate the LCM of 210, 864, 973, 812?

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 210, 864, 973, 812.

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}.