Given numbers are 892,208,652,252,307

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

The LCM of 892,208,652,252,307 is 146229409872.

Find LCM of 892,208,652,252,307 with Prime Factorization

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

2 x 2 x 223 x 52 x 163 x 63 x 307 = 146229409872

Therefore, the lowest common multiple of 892,208,652,252,307 is 146229409872.

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.

892 x 208 x 652 x 252 x 307 = 9358682231808

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.

892 : 1, 2, 4, 223, 446, 892

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

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

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

307 : 1, 307

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,208,652,252,307, is 1.

Now, the common factors can be found like this.

892:2x 2x 223

208:2x 2x 2x 2x 13

652:2x 2x 163

252:2x 2x 3x 3x 7

307:307

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

2x 2x 2x 2x 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 9358682231808/(1x64)

LCM = 9358682231808/64

LCM = 146229409872

Thus, we can understand that the LCM of 892,208,652,252,307 is 146229409872.

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

• LCM of 175, 709, 239, 303, 114
• LCM of 353, 967, 212, 883, 332
• LCM of 447, 290, 657, 747, 527
• LCM of 596, 233, 359, 213, 464
• LCM of 742, 892, 316, 632, 465

1. What is the LCM of 892, 208, 652, 252, 307?

Answer: LCM of 892, 208, 652, 252, 307 is 146229409872.

2. How to calculate the LCM of 892, 208, 652, 252, 307?

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 892, 208, 652, 252, 307.

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}.