Given numbers are 480,141,326,450

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

The LCM of 480,141,326,450 is 55159200.

Find LCM of 480,141,326,450 with Prime Factorization

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

2 x 3 x 5 x 16 x 47 x 163 x 15 = 55159200

Therefore, the lowest common multiple of 480,141,326,450 is 55159200.

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.

480 x 141 x 326 x 450 = 9928656000

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.

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

141 : 1, 3, 47, 141

326 : 1, 2, 163, 326

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,141,326,450, is 1.

Now, the common factors can be found like this.

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

141:3x 47

326:2x 163

450:2x 3x 3x 5x 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 2x 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 9928656000/(1x180)

LCM = 9928656000/180

LCM = 55159200

Thus, we can understand that the LCM of 480,141,326,450 is 55159200.

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

• LCM of 445, 125, 303, 961
• LCM of 648, 789, 356, 955
• LCM of 783, 899, 872, 526
• LCM of 318, 202, 603, 131
• LCM of 909, 373, 849, 345

1. What is the LCM of 480, 141, 326, 450?

Answer: LCM of 480, 141, 326, 450 is 55159200.

2. How to calculate the LCM of 480, 141, 326, 450?

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 480, 141, 326, 450.

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}.