Given numbers are 978,364,709,869,706

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

The LCM of 978,364,709,869,706 is 38712476951148.

Find LCM of 978,364,709,869,706 with Prime Factorization

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

2 x 489 x 182 x 709 x 869 x 353 = 38712476951148

Therefore, the lowest common multiple of 978,364,709,869,706 is 38712476951148.

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 364 x 709 x 869 x 706 = 154849907804592

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

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

709 : 1, 709

869 : 1, 11, 79, 869

706 : 1, 2, 353, 706

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,364,709,869,706, is 1.

Now, the common factors can be found like this.

978:2x 3x 163

364:2x 2x 7x 13

709:709

869:11x 79

706:2x 353

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 154849907804592/(1x4)

LCM = 154849907804592/4

LCM = 38712476951148

Thus, we can understand that the LCM of 978,364,709,869,706 is 38712476951148.

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

• LCM of 998, 323, 709, 900, 537
• LCM of 877, 920, 128, 166, 922
• LCM of 852, 508, 156, 266, 363
• LCM of 138, 596, 425, 920, 537
• LCM of 865, 330, 451, 615, 924

1. What is the LCM of 978, 364, 709, 869, 706?

Answer: LCM of 978, 364, 709, 869, 706 is 38712476951148.

2. How to calculate the LCM of 978, 364, 709, 869, 706?

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, 364, 709, 869, 706.

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}.