Given numbers are 674,628,458,114

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

The LCM of 674,628,458,114 is 2762484708.

Find LCM of 674,628,458,114 with Prime Factorization

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

2 x 337 x 314 x 229 x 57 = 2762484708

Therefore, the lowest common multiple of 674,628,458,114 is 2762484708.

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.

674 x 628 x 458 x 114 = 22099877664

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.

674 : 1, 2, 337, 674

628 : 1, 2, 4, 157, 314, 628

458 : 1, 2, 229, 458

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,628,458,114, is 2.

Now, the common factors can be found like this.

674:2x 337

628:2x 2x 157

458:2x 229

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 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 = 22099877664/(2x4)

LCM = 22099877664/8

LCM = 2762484708

Thus, we can understand that the LCM of 674,628,458,114 is 2762484708.

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

• LCM of 888, 305, 897, 644
• LCM of 559, 906, 783, 554
• LCM of 195, 108, 833, 858
• LCM of 928, 520, 545, 241
• LCM of 342, 500, 173, 534

1. What is the LCM of 674, 628, 458, 114?

Answer: LCM of 674, 628, 458, 114 is 2762484708.

2. How to calculate the LCM of 674, 628, 458, 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 674, 628, 458, 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}.