Given numbers are 214,636,930,118,421

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

The LCM of 214,636,930,118,421 is 262003262340.

Find LCM of 214,636,930,118,421 with Prime Factorization

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

2 x 3 x 107 x 106 x 155 x 59 x 421 = 262003262340

Therefore, the lowest common multiple of 214,636,930,118,421 is 262003262340.

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.

214 x 636 x 930 x 118 x 421 = 6288078296160

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.

214 : 1, 2, 107, 214

636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

118 : 1, 2, 59, 118

421 : 1, 421

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,636,930,118,421, is 1.

Now, the common factors can be found like this.

214:2x 107

636:2x 2x 3x 53

930:2x 3x 5x 31

118:2x 59

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 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 6288078296160/(1x24)

LCM = 6288078296160/24

LCM = 262003262340

Thus, we can understand that the LCM of 214,636,930,118,421 is 262003262340.

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

• LCM of 994, 247, 401, 351, 787
• LCM of 356, 719, 472, 912, 705
• LCM of 819, 359, 942, 379, 602
• LCM of 500, 651, 222, 265, 504
• LCM of 889, 527, 781, 172, 901

1. What is the LCM of 214, 636, 930, 118, 421?

Answer: LCM of 214, 636, 930, 118, 421 is 262003262340.

2. How to calculate the LCM of 214, 636, 930, 118, 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 214, 636, 930, 118, 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}.