Given numbers are 973,456,700,812

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

The LCM of 973,456,700,812 is 321673800.

Find LCM of 973,456,700,812 with Prime Factorization

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

2 x 2 x 7 x 139 x 114 x 25 x 29 = 321673800

Therefore, the lowest common multiple of 973,456,700,812 is 321673800.

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.

973 x 456 x 700 x 812 = 252192259200

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.

973 : 1, 7, 139, 973

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

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 973,456,700,812, is 1.

Now, the common factors can be found like this.

973:7x 139

456:2x 2x 2x 3x 19

700:2x 2x 5x 5x 7

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 2x 7x 7 = 784

Therefore, the value for common factors is 784.

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 = 252192259200/(1x784)

LCM = 252192259200/784

LCM = 321673800

Thus, we can understand that the LCM of 973,456,700,812 is 321673800.

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

• LCM of 371, 217, 243, 407
• LCM of 463, 253, 227, 649
• LCM of 373, 866, 507, 118
• LCM of 945, 470, 988, 268
• LCM of 817, 178, 665, 753

1. What is the LCM of 973, 456, 700, 812?

Answer: LCM of 973, 456, 700, 812 is 321673800.

2. How to calculate the LCM of 973, 456, 700, 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 973, 456, 700, 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}.