Given numbers are 560,307,972,149

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

The LCM of 560,307,972,149 is 6224707440.

Find LCM of 560,307,972,149 with Prime Factorization

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

2 x 2 x 140 x 307 x 243 x 149 = 6224707440

Therefore, the lowest common multiple of 560,307,972,149 is 6224707440.

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.

560 x 307 x 972 x 149 = 24898829760

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.

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

307 : 1, 307

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,307,972,149, is 1.

Now, the common factors can be found like this.

560:2x 2x 2x 2x 5x 7

307:307

972:2x 2x 3x 3x 3x 3x 3

149:149

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 24898829760/(1x4)

LCM = 24898829760/4

LCM = 6224707440

Thus, we can understand that the LCM of 560,307,972,149 is 6224707440.

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

• LCM of 638, 364, 498, 143
• LCM of 872, 200, 331, 437
• LCM of 280, 600, 654, 970
• LCM of 740, 789, 710, 962
• LCM of 872, 377, 254, 344

1. What is the LCM of 560, 307, 972, 149?

Answer: LCM of 560, 307, 972, 149 is 6224707440.

2. How to calculate the LCM of 560, 307, 972, 149?

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 560, 307, 972, 149.

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}.