Given numbers are 279,214,780,281,421

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

The LCM of 279,214,780,281,421 is 918226335780.

Find LCM of 279,214,780,281,421 with Prime Factorization

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

2 x 3 x 93 x 107 x 130 x 281 x 421 = 918226335780

Therefore, the lowest common multiple of 279,214,780,281,421 is 918226335780.

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.

279 x 214 x 780 x 281 x 421 = 5509358014680

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.

279 : 1, 3, 9, 31, 93, 279

214 : 1, 2, 107, 214

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

281 : 1, 281

421 : 1, 421

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,214,780,281,421, is 1.

Now, the common factors can be found like this.

279:3x 3x 31

214:2x 107

780:2x 2x 3x 5x 13

281:281

421:421

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 5509358014680/(1x6)

LCM = 5509358014680/6

LCM = 918226335780

Thus, we can understand that the LCM of 279,214,780,281,421 is 918226335780.

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

• LCM of 630, 861, 306, 163, 132
• LCM of 357, 209, 567, 495, 633
• LCM of 424, 763, 921, 586, 311
• LCM of 986, 351, 845, 944, 868
• LCM of 969, 212, 971, 885, 263

1. What is the LCM of 279, 214, 780, 281, 421?

Answer: LCM of 279, 214, 780, 281, 421 is 918226335780.

2. How to calculate the LCM of 279, 214, 780, 281, 421?

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 279, 214, 780, 281, 421.

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}.