Given numbers are 305,688,639,674

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

The LCM of 305,688,639,674 is 45187575120.

Find LCM of 305,688,639,674 with Prime Factorization

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

2 x 305 x 344 x 639 x 337 = 45187575120

Therefore, the lowest common multiple of 305,688,639,674 is 45187575120.

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.

305 x 688 x 639 x 674 = 90375150240

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.

305 : 1, 5, 61, 305

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

639 : 1, 3, 9, 71, 213, 639

674 : 1, 2, 337, 674

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,688,639,674, is 1.

Now, the common factors can be found like this.

305:5x 61

688:2x 2x 2x 2x 43

639:3x 3x 71

674:2x 337

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

2 = 2

Therefore, the value for common factors is 2.

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 = 90375150240/(1x2)

LCM = 90375150240/2

LCM = 45187575120

Thus, we can understand that the LCM of 305,688,639,674 is 45187575120.

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

• LCM of 671, 241, 298, 116
• LCM of 256, 193, 629, 790
• LCM of 122, 586, 543, 707
• LCM of 257, 338, 492, 507
• LCM of 139, 569, 282, 620

1. What is the LCM of 305, 688, 639, 674?

Answer: LCM of 305, 688, 639, 674 is 45187575120.

2. How to calculate the LCM of 305, 688, 639, 674?

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 305, 688, 639, 674.

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}.