Given numbers are 678,829,506,842

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

The LCM of 678,829,506,842 is 59866909806.

Find LCM of 678,829,506,842 with Prime Factorization

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

2 x 339 x 829 x 253 x 421 = 59866909806

Therefore, the lowest common multiple of 678,829,506,842 is 59866909806.

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.

678 x 829 x 506 x 842 = 239467639224

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.

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

829 : 1, 829

506 : 1, 2, 11, 22, 23, 46, 253, 506

842 : 1, 2, 421, 842

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,829,506,842, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

829:829

506:2x 11x 23

842:2x 421

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 239467639224/(1x4)

LCM = 239467639224/4

LCM = 59866909806

Thus, we can understand that the LCM of 678,829,506,842 is 59866909806.

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

• LCM of 178, 984, 417, 526
• LCM of 282, 160, 267, 439
• LCM of 805, 303, 158, 126
• LCM of 989, 355, 134, 297
• LCM of 591, 485, 931, 977

1. What is the LCM of 678, 829, 506, 842?

Answer: LCM of 678, 829, 506, 842 is 59866909806.

2. How to calculate the LCM of 678, 829, 506, 842?

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 678, 829, 506, 842.

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}.