Given numbers are 978,939,730,221,936

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

The LCM of 978,939,730,221,936 is 296312229720.

Find LCM of 978,939,730,221,936 with Prime Factorization

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

2 x 3 x 13 x 163 x 313 x 365 x 17 x 12 = 296312229720

Therefore, the lowest common multiple of 978,939,730,221,936 is 296312229720.

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 939 x 730 x 221 x 936 = 138674123508960

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

939 : 1, 3, 313, 939

730 : 1, 2, 5, 10, 73, 146, 365, 730

221 : 1, 13, 17, 221

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,939,730,221,936, is 1.

Now, the common factors can be found like this.

978:2x 3x 163

939:3x 313

730:2x 5x 73

221:13x 17

936:2x 2x 2x 3x 3x 13

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 13 = 468

Therefore, the value for common factors is 468.

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 = 138674123508960/(1x468)

LCM = 138674123508960/468

LCM = 296312229720

Thus, we can understand that the LCM of 978,939,730,221,936 is 296312229720.

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

• LCM of 258, 127, 977, 726, 996
• LCM of 202, 817, 330, 268, 961
• LCM of 607, 841, 697, 914, 622
• LCM of 699, 971, 964, 247, 462
• LCM of 675, 760, 779, 254, 734

1. What is the LCM of 978, 939, 730, 221, 936?

Answer: LCM of 978, 939, 730, 221, 936 is 296312229720.

2. How to calculate the LCM of 978, 939, 730, 221, 936?

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, 939, 730, 221, 936.

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}.