Given numbers are 270,788,480,970,509

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

The LCM of 270,788,480,970,509 is 42018397920.

Find LCM of 270,788,480,970,509 with Prime Factorization

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

2 x 2 x 3 x 5 x 9 x 197 x 8 x 97 x 509 = 42018397920

Therefore, the lowest common multiple of 270,788,480,970,509 is 42018397920.

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.

270 x 788 x 480 x 970 x 509 = 50422077504000

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.

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

788 : 1, 2, 4, 197, 394, 788

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

970 : 1, 2, 5, 10, 97, 194, 485, 970

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 270,788,480,970,509, is 1.

Now, the common factors can be found like this.

270:2x 3x 3x 3x 5

788:2x 2x 197

480:2x 2x 2x 2x 2x 3x 5

970:2x 5x 97

509:509

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 5x 5 = 1200

Therefore, the value for common factors is 1200.

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 = 50422077504000/(1x1200)

LCM = 50422077504000/1200

LCM = 42018397920

Thus, we can understand that the LCM of 270,788,480,970,509 is 42018397920.

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

• LCM of 311, 432, 457, 969, 118
• LCM of 577, 682, 872, 406, 974
• LCM of 560, 246, 954, 829, 836
• LCM of 782, 825, 249, 804, 729
• LCM of 799, 940, 959, 545, 237

1. What is the LCM of 270, 788, 480, 970, 509?

Answer: LCM of 270, 788, 480, 970, 509 is 42018397920.

2. How to calculate the LCM of 270, 788, 480, 970, 509?

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 270, 788, 480, 970, 509.

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}.