Given numbers are 174,638,480

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

The LCM of 174,638,480 is 153120.

Find LCM of 174,638,480 with Prime Factorization

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

2 x 3 x 29 x 1 x 11 x 80 = 153120

Therefore, the lowest common multiple of 174,638,480 is 153120.

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 638 x 480 = 53285760

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

638 : 1, 2, 11, 22, 29, 58, 319, 638

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 174,638,480, is 2.

Now, the common factors can be found like this.

174:2x 3x 29

638:2x 11x 29

480:2x 2x 2x 2x 2x 3x 5

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 29 = 174

Therefore, the value for common factors is 174.

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 = 53285760/(2x174)

LCM = 53285760/348

LCM = 153120

Thus, we can understand that the LCM of 174,638,480 is 153120.

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

• LCM of 763, 289, 802
• LCM of 340, 222, 588
• LCM of 484, 401, 459
• LCM of 908, 255, 472
• LCM of 849, 285, 702

1. What is the LCM of 174, 638, 480?

Answer: LCM of 174, 638, 480 is 153120.

2. How to calculate the LCM of 174, 638, 480?

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, 638, 480.

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}.