Given numbers are 540,478,268,707

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

The LCM of 540,478,268,707 is 6113443140.

Find LCM of 540,478,268,707 with Prime Factorization

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

2 x 2 x 135 x 239 x 67 x 707 = 6113443140

Therefore, the lowest common multiple of 540,478,268,707 is 6113443140.

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.

540 x 478 x 268 x 707 = 48907545120

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.

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

478 : 1, 2, 239, 478

268 : 1, 2, 4, 67, 134, 268

707 : 1, 7, 101, 707

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,478,268,707, is 1.

Now, the common factors can be found like this.

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

478:2x 239

268:2x 2x 67

707:7x 101

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 2 = 8

Therefore, the value for common factors is 8.

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 = 48907545120/(1x8)

LCM = 48907545120/8

LCM = 6113443140

Thus, we can understand that the LCM of 540,478,268,707 is 6113443140.

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

• LCM of 855, 448, 565, 305
• LCM of 283, 422, 504, 234
• LCM of 148, 240, 761, 617
• LCM of 249, 264, 809, 193
• LCM of 468, 674, 200, 407

1. What is the LCM of 540, 478, 268, 707?

Answer: LCM of 540, 478, 268, 707 is 6113443140.

2. How to calculate the LCM of 540, 478, 268, 707?

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 540, 478, 268, 707.

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}.