Given numbers are 560,523,678

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

The LCM of 560,523,678 is 99286320.

Find LCM of 560,523,678 with Prime Factorization

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

2 x 280 x 523 x 339 = 99286320

Therefore, the lowest common multiple of 560,523,678 is 99286320.

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.

560 x 523 x 678 = 198572640

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.

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

523 : 1, 523

678 : 1, 2, 3, 6, 113, 226, 339, 678

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,523,678, is 1.

Now, the common factors can be found like this.

560:2x 2x 2x 2x 5x 7

523:523

678:2x 3x 113

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 198572640/(1x2)

LCM = 198572640/2

LCM = 99286320

Thus, we can understand that the LCM of 560,523,678 is 99286320.

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

• LCM of 545, 614, 950
• LCM of 834, 178, 155
• LCM of 900, 313, 819
• LCM of 743, 627, 461
• LCM of 519, 978, 739

1. What is the LCM of 560, 523, 678?

Answer: LCM of 560, 523, 678 is 99286320.

2. How to calculate the LCM of 560, 523, 678?

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 560, 523, 678.

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}.