Given numbers are 678,812,241,829

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

The LCM of 678,812,241,829 is 54995518452.

Find LCM of 678,812,241,829 with Prime Factorization

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

2 x 339 x 406 x 241 x 829 = 54995518452

Therefore, the lowest common multiple of 678,812,241,829 is 54995518452.

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 812 x 241 x 829 = 109991036904

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

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

241 : 1, 241

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,812,241,829, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

812:2x 2x 7x 29

241:241

829:829

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 = 109991036904/(1x2)

LCM = 109991036904/2

LCM = 54995518452

Thus, we can understand that the LCM of 678,812,241,829 is 54995518452.

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

• LCM of 757, 800, 948, 867
• LCM of 607, 158, 426, 541
• LCM of 781, 671, 770, 308
• LCM of 807, 110, 517, 250
• LCM of 500, 191, 989, 599

1. What is the LCM of 678, 812, 241, 829?

Answer: LCM of 678, 812, 241, 829 is 54995518452.

2. How to calculate the LCM of 678, 812, 241, 829?

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, 812, 241, 829.

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}.