Given numbers are 840,978,446,454

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

The LCM of 840,978,446,454 is 6931027320.

Find LCM of 840,978,446,454 with Prime Factorization

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

2 x 3 x 140 x 163 x 223 x 227 = 6931027320

Therefore, the lowest common multiple of 840,978,446,454 is 6931027320.

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.

840 x 978 x 446 x 454 = 166344655680

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.

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

978 : 1, 2, 3, 6, 163, 326, 489, 978

446 : 1, 2, 223, 446

454 : 1, 2, 227, 454

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,978,446,454, is 2.

Now, the common factors can be found like this.

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

978:2x 3x 163

446:2x 223

454:2x 227

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 3 = 12

Therefore, the value for common factors is 12.

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 = 166344655680/(2x12)

LCM = 166344655680/24

LCM = 6931027320

Thus, we can understand that the LCM of 840,978,446,454 is 6931027320.

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

• LCM of 369, 105, 894, 607
• LCM of 358, 981, 713, 365
• LCM of 766, 156, 901, 748
• LCM of 144, 934, 909, 596
• LCM of 311, 953, 176, 988

1. What is the LCM of 840, 978, 446, 454?

Answer: LCM of 840, 978, 446, 454 is 6931027320.

2. How to calculate the LCM of 840, 978, 446, 454?

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 840, 978, 446, 454.

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}.