Given numbers are 318,308,749,829

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

The LCM of 318,308,749,829 is 4343963316.

Find LCM of 318,308,749,829 with Prime Factorization

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

2 x 7 x 159 x 22 x 107 x 829 = 4343963316

Therefore, the lowest common multiple of 318,308,749,829 is 4343963316.

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.

318 x 308 x 749 x 829 = 60815486424

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.

318 : 1, 2, 3, 6, 53, 106, 159, 318

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

749 : 1, 7, 107, 749

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,308,749,829, is 1.

Now, the common factors can be found like this.

318:2x 3x 53

308:2x 2x 7x 11

749:7x 107

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.

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 60815486424/(1x14)

LCM = 60815486424/14

LCM = 4343963316

Thus, we can understand that the LCM of 318,308,749,829 is 4343963316.

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

• LCM of 987, 164, 734, 212
• LCM of 275, 904, 508, 696
• LCM of 168, 934, 950, 485
• LCM of 870, 670, 709, 536
• LCM of 920, 878, 213, 998

1. What is the LCM of 318, 308, 749, 829?

Answer: LCM of 318, 308, 749, 829 is 4343963316.

2. How to calculate the LCM of 318, 308, 749, 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 318, 308, 749, 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}.