Given numbers are 270,139,764,440,980

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

The LCM of 270,139,764,440,980 is 15454703880.

Find LCM of 270,139,764,440,980 with Prime Factorization

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

2 x 2 x 5 x 27 x 139 x 191 x 22 x 49 = 15454703880

Therefore, the lowest common multiple of 270,139,764,440,980 is 15454703880.

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 139 x 764 x 440 x 980 = 12363763104000

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

139 : 1, 139

764 : 1, 2, 4, 191, 382, 764

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 270,139,764,440,980, is 1.

Now, the common factors can be found like this.

270:2x 3x 3x 3x 5

139:139

764:2x 2x 191

440:2x 2x 2x 5x 11

980:2x 2x 5x 7x 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 5x 5 = 800

Therefore, the value for common factors is 800.

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 = 12363763104000/(1x800)

LCM = 12363763104000/800

LCM = 15454703880

Thus, we can understand that the LCM of 270,139,764,440,980 is 15454703880.

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

• LCM of 629, 433, 723, 911, 634
• LCM of 311, 318, 145, 937, 196
• LCM of 368, 603, 614, 705, 140
• LCM of 873, 459, 766, 302, 760
• LCM of 810, 692, 375, 672, 908

1. What is the LCM of 270, 139, 764, 440, 980?

Answer: LCM of 270, 139, 764, 440, 980 is 15454703880.

2. How to calculate the LCM of 270, 139, 764, 440, 980?

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, 139, 764, 440, 980.

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}.