Given numbers are 763,214,207,428

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

The LCM of 763,214,207,428 is 67598748.

Find LCM of 763,214,207,428 with Prime Factorization

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

2 x 107 x 763 x 1 x 207 x 2 = 67598748

Therefore, the lowest common multiple of 763,214,207,428 is 67598748.

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.

763 x 214 x 207 x 428 = 14466132072

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.

763 : 1, 7, 109, 763

214 : 1, 2, 107, 214

207 : 1, 3, 9, 23, 69, 207

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 763,214,207,428, is 1.

Now, the common factors can be found like this.

763:7x 109

214:2x 107

207:3x 3x 23

428:2x 2x 107

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

2x 107 = 214

Therefore, the value for common factors is 214.

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 = 14466132072/(1x214)

LCM = 14466132072/214

LCM = 67598748

Thus, we can understand that the LCM of 763,214,207,428 is 67598748.

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

• LCM of 674, 767, 311, 623
• LCM of 994, 270, 499, 720
• LCM of 632, 504, 280, 675
• LCM of 358, 551, 622, 106
• LCM of 826, 335, 644, 959

1. What is the LCM of 763, 214, 207, 428?

Answer: LCM of 763, 214, 207, 428 is 67598748.

2. How to calculate the LCM of 763, 214, 207, 428?

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 763, 214, 207, 428.

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}.