Given numbers are 217,524,689,978

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

The LCM of 217,524,689,978 is 38310613068.

Find LCM of 217,524,689,978 with Prime Factorization

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

2 x 217 x 262 x 689 x 489 = 38310613068

Therefore, the lowest common multiple of 217,524,689,978 is 38310613068.

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.

217 x 524 x 689 x 978 = 76621226136

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.

217 : 1, 7, 31, 217

524 : 1, 2, 4, 131, 262, 524

689 : 1, 13, 53, 689

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,524,689,978, is 1.

Now, the common factors can be found like this.

217:7x 31

524:2x 2x 131

689:13x 53

978:2x 3x 163

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

2 = 2

Therefore, the value for common factors is 2.

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 = 76621226136/(1x2)

LCM = 76621226136/2

LCM = 38310613068

Thus, we can understand that the LCM of 217,524,689,978 is 38310613068.

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

• LCM of 760, 664, 846, 478
• LCM of 906, 831, 376, 258
• LCM of 218, 765, 206, 750
• LCM of 274, 813, 828, 780
• LCM of 147, 472, 508, 526

1. What is the LCM of 217, 524, 689, 978?

Answer: LCM of 217, 524, 689, 978 is 38310613068.

2. How to calculate the LCM of 217, 524, 689, 978?

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 217, 524, 689, 978.

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}.