Given numbers are 234,829,416,380

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

The LCM of 234,829,416,380 is 294858720.

Find LCM of 234,829,416,380 with Prime Factorization

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

2 x 2 x 13 x 9 x 829 x 8 x 95 = 294858720

Therefore, the lowest common multiple of 234,829,416,380 is 294858720.

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.

234 x 829 x 416 x 380 = 30665306880

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.

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

829 : 1, 829

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,829,416,380, is 1.

Now, the common factors can be found like this.

234:2x 3x 3x 13

829:829

416:2x 2x 2x 2x 2x 13

380:2x 2x 5x 19

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 2x 13 = 104

Therefore, the value for common factors is 104.

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 = 30665306880/(1x104)

LCM = 30665306880/104

LCM = 294858720

Thus, we can understand that the LCM of 234,829,416,380 is 294858720.

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

• LCM of 855, 266, 654, 926
• LCM of 450, 644, 932, 694
• LCM of 460, 668, 942, 764
• LCM of 434, 123, 569, 424
• LCM of 480, 137, 808, 151

1. What is the LCM of 234, 829, 416, 380?

Answer: LCM of 234, 829, 416, 380 is 294858720.

2. How to calculate the LCM of 234, 829, 416, 380?

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 234, 829, 416, 380.

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}.