Given numbers are 314,544,874,432,146

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

The LCM of 314,544,874,432,146 is 73564216416.

Find LCM of 314,544,874,432,146 with Prime Factorization

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

2 x 2 x 2 x 2 x 157 x 34 x 437 x 27 x 73 = 73564216416

Therefore, the lowest common multiple of 314,544,874,432,146 is 73564216416.

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.

314 x 544 x 874 x 432 x 146 = 9416219701248

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.

314 : 1, 2, 157, 314

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

874 : 1, 2, 19, 23, 38, 46, 437, 874

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

146 : 1, 2, 73, 146

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,544,874,432,146, is 2.

Now, the common factors can be found like this.

314:2x 157

544:2x 2x 2x 2x 2x 17

874:2x 19x 23

432:2x 2x 2x 2x 3x 3x 3

146:2x 73

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 = 9416219701248/(2x64)

LCM = 9416219701248/128

LCM = 73564216416

Thus, we can understand that the LCM of 314,544,874,432,146 is 73564216416.

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

• LCM of 122, 444, 314, 369, 140
• LCM of 470, 691, 945, 680, 876
• LCM of 211, 435, 102, 947, 634
• LCM of 440, 262, 637, 390, 620
• LCM of 100, 164, 555, 841, 645

1. What is the LCM of 314, 544, 874, 432, 146?

Answer: LCM of 314, 544, 874, 432, 146 is 73564216416.

2. How to calculate the LCM of 314, 544, 874, 432, 146?

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 314, 544, 874, 432, 146.

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}.