Given numbers are 674,178,790,614

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

The LCM of 674,178,790,614 is 7274202290.

Find LCM of 674,178,790,614 with Prime Factorization

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

2 x 337 x 89 x 395 x 307 = 7274202290

Therefore, the lowest common multiple of 674,178,790,614 is 7274202290.

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 178 x 790 x 614 = 58193618320

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

178 : 1, 2, 89, 178

790 : 1, 2, 5, 10, 79, 158, 395, 790

614 : 1, 2, 307, 614

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,178,790,614, is 2.

Now, the common factors can be found like this.

674:2x 337

178:2x 89

790:2x 5x 79

614:2x 307

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 = 58193618320/(2x4)

LCM = 58193618320/8

LCM = 7274202290

Thus, we can understand that the LCM of 674,178,790,614 is 7274202290.

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

• LCM of 783, 515, 782, 532
• LCM of 819, 309, 812, 187
• LCM of 815, 798, 907, 843
• LCM of 746, 160, 902, 711
• LCM of 351, 404, 556, 776

1. What is the LCM of 674, 178, 790, 614?

Answer: LCM of 674, 178, 790, 614 is 7274202290.

2. How to calculate the LCM of 674, 178, 790, 614?

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, 178, 790, 614.

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}.