Given numbers are 208,442,674,149

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

The LCM of 208,442,674,149 is 177553168.

Find LCM of 208,442,674,149 with Prime Factorization

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

2 x 13 x 8 x 17 x 337 x 149 = 177553168

Therefore, the lowest common multiple of 208,442,674,149 is 177553168.

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.

208 x 442 x 674 x 149 = 9232764736

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.

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

442 : 1, 2, 13, 17, 26, 34, 221, 442

674 : 1, 2, 337, 674

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,442,674,149, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

442:2x 13x 17

674:2x 337

149:149

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 13 = 52

Therefore, the value for common factors is 52.

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 = 9232764736/(1x52)

LCM = 9232764736/52

LCM = 177553168

Thus, we can understand that the LCM of 208,442,674,149 is 177553168.

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

• LCM of 310, 189, 523, 223
• LCM of 852, 217, 756, 319
• LCM of 248, 872, 979, 260
• LCM of 558, 513, 115, 981
• LCM of 636, 126, 644, 933

1. What is the LCM of 208, 442, 674, 149?

Answer: LCM of 208, 442, 674, 149 is 177553168.

2. How to calculate the LCM of 208, 442, 674, 149?

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 208, 442, 674, 149.

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}.