Given numbers are 174,122,221,960,473

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

The LCM of 174,122,221,960,473 is 177522121920.

Find LCM of 174,122,221,960,473 with Prime Factorization

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

2 x 3 x 29 x 61 x 221 x 160 x 473 = 177522121920

Therefore, the lowest common multiple of 174,122,221,960,473 is 177522121920.

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.

174 x 122 x 221 x 960 x 473 = 2130265463040

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.

174 : 1, 2, 3, 6, 29, 58, 87, 174

122 : 1, 2, 61, 122

221 : 1, 13, 17, 221

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

473 : 1, 11, 43, 473

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 174,122,221,960,473, is 1.

Now, the common factors can be found like this.

174:2x 3x 29

122:2x 61

221:13x 17

960:2x 2x 2x 2x 2x 2x 3x 5

473:11x 43

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 = 2130265463040/(1x12)

LCM = 2130265463040/12

LCM = 177522121920

Thus, we can understand that the LCM of 174,122,221,960,473 is 177522121920.

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

• LCM of 540, 743, 622, 390, 799
• LCM of 320, 199, 842, 630, 611
• LCM of 739, 982, 742, 786, 356
• LCM of 303, 988, 570, 940, 494
• LCM of 894, 819, 495, 150, 560

1. What is the LCM of 174, 122, 221, 960, 473?

Answer: LCM of 174, 122, 221, 960, 473 is 177522121920.

2. How to calculate the LCM of 174, 122, 221, 960, 473?

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 174, 122, 221, 960, 473.

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}.