Given numbers are 100,289,276,149

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

The LCM of 100,289,276,149 is 297120900.

Find LCM of 100,289,276,149 with Prime Factorization

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

2 x 2 x 25 x 289 x 69 x 149 = 297120900

Therefore, the lowest common multiple of 100,289,276,149 is 297120900.

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.

100 x 289 x 276 x 149 = 1188483600

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.

100 : 1, 2, 4, 5, 10, 20, 25, 50, 100

289 : 1, 17, 289

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 100,289,276,149, is 1.

Now, the common factors can be found like this.

100:2x 2x 5x 5

289:17x 17

276:2x 2x 3x 23

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 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 = 1188483600/(1x4)

LCM = 1188483600/4

LCM = 297120900

Thus, we can understand that the LCM of 100,289,276,149 is 297120900.

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

• LCM of 171, 382, 691, 453
• LCM of 153, 953, 996, 348
• LCM of 816, 660, 709, 439
• LCM of 714, 362, 683, 988
• LCM of 551, 735, 849, 856

1. What is the LCM of 100, 289, 276, 149?

Answer: LCM of 100, 289, 276, 149 is 297120900.

2. How to calculate the LCM of 100, 289, 276, 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 100, 289, 276, 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}.