Given numbers are 276,289,652,142

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

The LCM of 276,289,652,142 is 923108772.

Find LCM of 276,289,652,142 with Prime Factorization

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

2 x 2 x 69 x 289 x 163 x 71 = 923108772

Therefore, the lowest common multiple of 276,289,652,142 is 923108772.

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.

276 x 289 x 652 x 142 = 7384870176

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.

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

289 : 1, 17, 289

652 : 1, 2, 4, 163, 326, 652

142 : 1, 2, 71, 142

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,289,652,142, is 1.

Now, the common factors can be found like this.

276:2x 2x 3x 23

289:17x 17

652:2x 2x 163

142:2x 71

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 2 = 8

Therefore, the value for common factors is 8.

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 = 7384870176/(1x8)

LCM = 7384870176/8

LCM = 923108772

Thus, we can understand that the LCM of 276,289,652,142 is 923108772.

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

• LCM of 958, 467, 863, 905
• LCM of 401, 958, 548, 960
• LCM of 885, 496, 542, 708
• LCM of 946, 418, 759, 580
• LCM of 424, 518, 573, 816

1. What is the LCM of 276, 289, 652, 142?

Answer: LCM of 276, 289, 652, 142 is 923108772.

2. How to calculate the LCM of 276, 289, 652, 142?

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 276, 289, 652, 142.

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}.