Given numbers are 543,378,878,615,552

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

The LCM of 543,378,878,615,552 is 566469567720.

Find LCM of 543,378,878,615,552 with Prime Factorization

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

2 x 3 x 181 x 63 x 439 x 205 x 92 = 566469567720

Therefore, the lowest common multiple of 543,378,878,615,552 is 566469567720.

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.

543 x 378 x 878 x 615 x 552 = 61178713313760

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.

543 : 1, 3, 181, 543

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

878 : 1, 2, 439, 878

615 : 1, 3, 5, 15, 41, 123, 205, 615

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,378,878,615,552, is 1.

Now, the common factors can be found like this.

543:3x 181

378:2x 3x 3x 3x 7

878:2x 439

615:3x 5x 41

552:2x 2x 2x 3x 23

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 3 = 108

Therefore, the value for common factors is 108.

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 = 61178713313760/(1x108)

LCM = 61178713313760/108

LCM = 566469567720

Thus, we can understand that the LCM of 543,378,878,615,552 is 566469567720.

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

• LCM of 208, 397, 491, 315, 635
• LCM of 264, 836, 296, 288, 719
• LCM of 213, 807, 727, 203, 897
• LCM of 234, 782, 162, 439, 149
• LCM of 670, 639, 830, 332, 929

1. What is the LCM of 543, 378, 878, 615, 552?

Answer: LCM of 543, 378, 878, 615, 552 is 566469567720.

2. How to calculate the LCM of 543, 378, 878, 615, 552?

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 543, 378, 878, 615, 552.

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}.