Given numbers are 788,458,364,673,114

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

The LCM of 788,458,364,673,114 is 629931044652.

Find LCM of 788,458,364,673,114 with Prime Factorization

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

2 x 2 x 197 x 229 x 91 x 673 x 57 = 629931044652

Therefore, the lowest common multiple of 788,458,364,673,114 is 629931044652.

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.

788 x 458 x 364 x 673 x 114 = 10078896714432

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.

788 : 1, 2, 4, 197, 394, 788

458 : 1, 2, 229, 458

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

673 : 1, 673

114 : 1, 2, 3, 6, 19, 38, 57, 114

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 788,458,364,673,114, is 1.

Now, the common factors can be found like this.

788:2x 2x 197

458:2x 229

364:2x 2x 7x 13

673:673

114:2x 3x 19

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 2 = 16

Therefore, the value for common factors is 16.

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 = 10078896714432/(1x16)

LCM = 10078896714432/16

LCM = 629931044652

Thus, we can understand that the LCM of 788,458,364,673,114 is 629931044652.

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

• LCM of 276, 735, 662, 897, 499
• LCM of 562, 815, 945, 764, 569
• LCM of 467, 238, 164, 638, 962
• LCM of 971, 760, 147, 828, 198
• LCM of 373, 247, 552, 915, 850

1. What is the LCM of 788, 458, 364, 673, 114?

Answer: LCM of 788, 458, 364, 673, 114 is 629931044652.

2. How to calculate the LCM of 788, 458, 364, 673, 114?

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 788, 458, 364, 673, 114.

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}.