Given numbers are 978,660,270,639

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

The LCM of 978,660,270,639 is 68743620.

Find LCM of 978,660,270,639 with Prime Factorization

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

2 x 3 x 3 x 5 x 163 x 22 x 3 x 71 = 68743620

Therefore, the lowest common multiple of 978,660,270,639 is 68743620.

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.

978 x 660 x 270 x 639 = 111364664400

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.

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

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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

639 : 1, 3, 9, 71, 213, 639

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,660,270,639, is 3.

Now, the common factors can be found like this.

978:2x 3x 163

660:2x 2x 3x 5x 11

270:2x 3x 3x 3x 5

639:3x 3x 71

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 3x 3x 3x 5 = 540

Therefore, the value for common factors is 540.

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 = 111364664400/(3x540)

LCM = 111364664400/1620

LCM = 68743620

Thus, we can understand that the LCM of 978,660,270,639 is 68743620.

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

• LCM of 773, 929, 935, 760
• LCM of 130, 617, 214, 791
• LCM of 987, 665, 314, 154
• LCM of 906, 635, 483, 554
• LCM of 328, 710, 341, 200

1. What is the LCM of 978, 660, 270, 639?

Answer: LCM of 978, 660, 270, 639 is 68743620.

2. How to calculate the LCM of 978, 660, 270, 639?

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 978, 660, 270, 639.

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}.