Given numbers are 214,740,720,421

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

The LCM of 214,740,720,421 is 1200052080.

Find LCM of 214,740,720,421 with Prime Factorization

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

2 x 2 x 5 x 107 x 37 x 36 x 421 = 1200052080

Therefore, the lowest common multiple of 214,740,720,421 is 1200052080.

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 740 x 720 x 421 = 48002083200

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

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

421 : 1, 421

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,740,720,421, is 1.

Now, the common factors can be found like this.

214:2x 107

740:2x 2x 5x 37

720:2x 2x 2x 2x 3x 3x 5

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 5 = 40

Therefore, the value for common factors is 40.

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 = 48002083200/(1x40)

LCM = 48002083200/40

LCM = 1200052080

Thus, we can understand that the LCM of 214,740,720,421 is 1200052080.

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

• LCM of 231, 399, 238, 452
• LCM of 744, 138, 970, 206
• LCM of 857, 309, 756, 731
• LCM of 295, 353, 114, 382
• LCM of 341, 245, 267, 630

1. What is the LCM of 214, 740, 720, 421?

Answer: LCM of 214, 740, 720, 421 is 1200052080.

2. How to calculate the LCM of 214, 740, 720, 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, 740, 720, 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}.