Given numbers are 772,497,458,314

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

The LCM of 772,497,458,314 is 13794590852.

Find LCM of 772,497,458,314 with Prime Factorization

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

2 x 386 x 497 x 229 x 157 = 13794590852

Therefore, the lowest common multiple of 772,497,458,314 is 13794590852.

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.

772 x 497 x 458 x 314 = 55178363408

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.

772 : 1, 2, 4, 193, 386, 772

497 : 1, 7, 71, 497

458 : 1, 2, 229, 458

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,497,458,314, is 1.

Now, the common factors can be found like this.

772:2x 2x 193

497:7x 71

458:2x 229

314:2x 157

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 55178363408/(1x4)

LCM = 55178363408/4

LCM = 13794590852

Thus, we can understand that the LCM of 772,497,458,314 is 13794590852.

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

• LCM of 560, 911, 887, 688
• LCM of 976, 403, 390, 761
• LCM of 125, 230, 496, 543
• LCM of 787, 504, 366, 593
• LCM of 887, 778, 927, 737

1. What is the LCM of 772, 497, 458, 314?

Answer: LCM of 772, 497, 458, 314 is 13794590852.

2. How to calculate the LCM of 772, 497, 458, 314?

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 772, 497, 458, 314.

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}.