Given numbers are 154,680,120,738,474

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

The LCM of 154,680,120,738,474 is 1526346360.

Find LCM of 154,680,120,738,474 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 77 x 17 x 1 x 123 x 79 = 1526346360

Therefore, the lowest common multiple of 154,680,120,738,474 is 1526346360.

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.

154 x 680 x 120 x 738 x 474 = 4395877516800

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.

154 : 1, 2, 7, 11, 14, 22, 77, 154

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

474 : 1, 2, 3, 6, 79, 158, 237, 474

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 154,680,120,738,474, is 2.

Now, the common factors can be found like this.

154:2x 7x 11

680:2x 2x 2x 5x 17

120:2x 2x 2x 3x 5

738:2x 3x 3x 41

474:2x 3x 79

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 2x 3x 3x 5 = 1440

Therefore, the value for common factors is 1440.

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 = 4395877516800/(2x1440)

LCM = 4395877516800/2880

LCM = 1526346360

Thus, we can understand that the LCM of 154,680,120,738,474 is 1526346360.

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

• LCM of 650, 169, 128, 731, 803
• LCM of 856, 172, 995, 794, 967
• LCM of 564, 375, 942, 799, 416
• LCM of 970, 550, 736, 308, 371
• LCM of 301, 181, 114, 616, 179

1. What is the LCM of 154, 680, 120, 738, 474?

Answer: LCM of 154, 680, 120, 738, 474 is 1526346360.

2. How to calculate the LCM of 154, 680, 120, 738, 474?

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 154, 680, 120, 738, 474.

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}.