Given numbers are 902,284,261,276,672

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

The LCM of 902,284,261,276,672 is 43057742112.

Find LCM of 902,284,261,276,672 with Prime Factorization

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

2 x 2 x 3 x 451 x 71 x 87 x 23 x 56 = 43057742112

Therefore, the lowest common multiple of 902,284,261,276,672 is 43057742112.

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.

902 x 284 x 261 x 276 x 672 = 12400629728256

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.

902 : 1, 2, 11, 22, 41, 82, 451, 902

284 : 1, 2, 4, 71, 142, 284

261 : 1, 3, 9, 29, 87, 261

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

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,284,261,276,672, is 1.

Now, the common factors can be found like this.

902:2x 11x 41

284:2x 2x 71

261:3x 3x 29

276:2x 2x 3x 23

672:2x 2x 2x 2x 2x 3x 7

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 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 12400629728256/(1x288)

LCM = 12400629728256/288

LCM = 43057742112

Thus, we can understand that the LCM of 902,284,261,276,672 is 43057742112.

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

• LCM of 897, 334, 820, 801, 182
• LCM of 548, 847, 770, 584, 247
• LCM of 287, 634, 589, 362, 642
• LCM of 273, 562, 642, 128, 868
• LCM of 100, 926, 495, 976, 131

1. What is the LCM of 902, 284, 261, 276, 672?

Answer: LCM of 902, 284, 261, 276, 672 is 43057742112.

2. How to calculate the LCM of 902, 284, 261, 276, 672?

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 902, 284, 261, 276, 672.

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}.