Given numbers are 234,509,838,509

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

The LCM of 234,509,838,509 is 49905414.

Find LCM of 234,509,838,509 with Prime Factorization

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

2 x 509 x 117 x 1 x 419 x 1 = 49905414

Therefore, the lowest common multiple of 234,509,838,509 is 49905414.

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 509 x 838 x 509 = 50803711452

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

509 : 1, 509

838 : 1, 2, 419, 838

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,509,838,509, is 1.

Now, the common factors can be found like this.

234:2x 3x 3x 13

509:509

838:2x 419

509:509

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

2x 509 = 1018

Therefore, the value for common factors is 1018.

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 = 50803711452/(1x1018)

LCM = 50803711452/1018

LCM = 49905414

Thus, we can understand that the LCM of 234,509,838,509 is 49905414.

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

• LCM of 519, 817, 559, 598
• LCM of 864, 546, 940, 900
• LCM of 346, 188, 749, 109
• LCM of 924, 949, 851, 956
• LCM of 680, 540, 663, 502

1. What is the LCM of 234, 509, 838, 509?

Answer: LCM of 234, 509, 838, 509 is 49905414.

2. How to calculate the LCM of 234, 509, 838, 509?

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, 509, 838, 509.

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}.