Given numbers are 144,129,473,658

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

The LCM of 144,129,473,658 is 22408848.

Find LCM of 144,129,473,658 with Prime Factorization

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

2 x 3 x 43 x 24 x 1 x 11 x 329 = 22408848

Therefore, the lowest common multiple of 144,129,473,658 is 22408848.

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.

144 x 129 x 473 x 658 = 5781482784

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.

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

129 : 1, 3, 43, 129

473 : 1, 11, 43, 473

658 : 1, 2, 7, 14, 47, 94, 329, 658

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,129,473,658, is 1.

Now, the common factors can be found like this.

144:2x 2x 2x 2x 3x 3

129:3x 43

473:11x 43

658:2x 7x 47

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

2x 3x 43 = 258

Therefore, the value for common factors is 258.

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 = 5781482784/(1x258)

LCM = 5781482784/258

LCM = 22408848

Thus, we can understand that the LCM of 144,129,473,658 is 22408848.

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

• LCM of 147, 500, 624, 209
• LCM of 610, 854, 458, 373
• LCM of 111, 534, 768, 254
• LCM of 856, 852, 739, 868
• LCM of 400, 360, 990, 847

1. What is the LCM of 144, 129, 473, 658?

Answer: LCM of 144, 129, 473, 658 is 22408848.

2. How to calculate the LCM of 144, 129, 473, 658?

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 144, 129, 473, 658.

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}.