Given numbers are 908,927,840,319,828

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

The LCM of 908,927,840,319,828 is 432296920440.

Find LCM of 908,927,840,319,828 with Prime Factorization

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

2 x 2 x 3 x 3 x 227 x 103 x 70 x 319 x 23 = 432296920440

Therefore, the lowest common multiple of 908,927,840,319,828 is 432296920440.

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.

908 x 927 x 840 x 319 x 828 = 186752269630080

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.

908 : 1, 2, 4, 227, 454, 908

927 : 1, 3, 9, 103, 309, 927

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

319 : 1, 11, 29, 319

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 908,927,840,319,828, is 1.

Now, the common factors can be found like this.

908:2x 2x 227

927:3x 3x 103

840:2x 2x 2x 3x 5x 7

319:11x 29

828:2x 2x 3x 3x 23

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 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 186752269630080/(1x432)

LCM = 186752269630080/432

LCM = 432296920440

Thus, we can understand that the LCM of 908,927,840,319,828 is 432296920440.

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

• LCM of 263, 770, 613, 181, 365
• LCM of 742, 696, 997, 164, 717
• LCM of 749, 688, 458, 204, 147
• LCM of 987, 823, 550, 852, 767
• LCM of 820, 131, 416, 923, 230

1. What is the LCM of 908, 927, 840, 319, 828?

Answer: LCM of 908, 927, 840, 319, 828 is 432296920440.

2. How to calculate the LCM of 908, 927, 840, 319, 828?

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 908, 927, 840, 319, 828.

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}.