Given numbers are 480,540,236,326

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

The LCM of 480,540,236,326 is 41545440.

Find LCM of 480,540,236,326 with Prime Factorization

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

2 x 2 x 3 x 5 x 8 x 9 x 59 x 163 = 41545440

Therefore, the lowest common multiple of 480,540,236,326 is 41545440.

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 540 x 236 x 326 = 19941811200

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

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

236 : 1, 2, 4, 59, 118, 236

326 : 1, 2, 163, 326

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,540,236,326, is 2.

Now, the common factors can be found like this.

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

540:2x 2x 3x 3x 3x 5

236:2x 2x 59

326:2x 163

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 3x 5 = 240

Therefore, the value for common factors is 240.

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 = 19941811200/(2x240)

LCM = 19941811200/480

LCM = 41545440

Thus, we can understand that the LCM of 480,540,236,326 is 41545440.

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

• LCM of 958, 847, 258, 874
• LCM of 758, 435, 150, 167
• LCM of 404, 438, 558, 148
• LCM of 410, 552, 713, 969
• LCM of 300, 923, 506, 962

1. What is the LCM of 480, 540, 236, 326?

Answer: LCM of 480, 540, 236, 326 is 41545440.

2. How to calculate the LCM of 480, 540, 236, 326?

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, 540, 236, 326.

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}.