Given numbers are 214,345,786,763

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

The LCM of 214,345,786,763 is 7379529990.

Find LCM of 214,345,786,763 with Prime Factorization

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

2 x 3 x 107 x 115 x 131 x 763 = 7379529990

Therefore, the lowest common multiple of 214,345,786,763 is 7379529990.

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 345 x 786 x 763 = 44277179940

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

345 : 1, 3, 5, 15, 23, 69, 115, 345

786 : 1, 2, 3, 6, 131, 262, 393, 786

763 : 1, 7, 109, 763

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,345,786,763, is 1.

Now, the common factors can be found like this.

214:2x 107

345:3x 5x 23

786:2x 3x 131

763:7x 109

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 = 44277179940/(1x6)

LCM = 44277179940/6

LCM = 7379529990

Thus, we can understand that the LCM of 214,345,786,763 is 7379529990.

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

• LCM of 177, 569, 923, 920
• LCM of 907, 900, 613, 336
• LCM of 309, 448, 658, 956
• LCM of 822, 811, 102, 857
• LCM of 100, 749, 111, 204

1. What is the LCM of 214, 345, 786, 763?

Answer: LCM of 214, 345, 786, 763 is 7379529990.

2. How to calculate the LCM of 214, 345, 786, 763?

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, 345, 786, 763.

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}.