Given numbers are 540,192,120,547

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

The LCM of 540,192,120,547 is 4726080.

Find LCM of 540,192,120,547 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 9 x 8 x 1 x 547 = 4726080

Therefore, the lowest common multiple of 540,192,120,547 is 4726080.

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 192 x 120 x 547 = 6805555200

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

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

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

547 : 1, 547

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,192,120,547, is 1.

Now, the common factors can be found like this.

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

192:2x 2x 2x 2x 2x 2x 3

120:2x 2x 2x 3x 5

547:547

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 = 6805555200/(1x1440)

LCM = 6805555200/1440

LCM = 4726080

Thus, we can understand that the LCM of 540,192,120,547 is 4726080.

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

• LCM of 559, 168, 198, 929
• LCM of 928, 904, 902, 969
• LCM of 936, 923, 574, 792
• LCM of 310, 306, 720, 586
• LCM of 332, 453, 946, 511

1. What is the LCM of 540, 192, 120, 547?

Answer: LCM of 540, 192, 120, 547 is 4726080.

2. How to calculate the LCM of 540, 192, 120, 547?

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, 192, 120, 547.

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}.