Given numbers are 974,378,516,622

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

The LCM of 974,378,516,622 is 4923564156.

Find LCM of 974,378,516,622 with Prime Factorization

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

2 x 3 x 487 x 63 x 86 x 311 = 4923564156

Therefore, the lowest common multiple of 974,378,516,622 is 4923564156.

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.

974 x 378 x 516 x 622 = 118165539744

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.

974 : 1, 2, 487, 974

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

622 : 1, 2, 311, 622

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,378,516,622, is 2.

Now, the common factors can be found like this.

974:2x 487

378:2x 3x 3x 3x 7

516:2x 2x 3x 43

622:2x 311

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 3 = 12

Therefore, the value for common factors is 12.

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 = 118165539744/(2x12)

LCM = 118165539744/24

LCM = 4923564156

Thus, we can understand that the LCM of 974,378,516,622 is 4923564156.

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

• LCM of 294, 805, 139, 370
• LCM of 772, 458, 491, 788
• LCM of 157, 215, 253, 260
• LCM of 915, 872, 576, 144
• LCM of 822, 199, 690, 255

1. What is the LCM of 974, 378, 516, 622?

Answer: LCM of 974, 378, 516, 622 is 4923564156.

2. How to calculate the LCM of 974, 378, 516, 622?

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 974, 378, 516, 622.

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}.