Given numbers are 978,336,688,515,326

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

The LCM of 978,336,688,515,326 is 1212837360.

Find LCM of 978,336,688,515,326 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 163 x 1 x 7 x 43 x 515 x 1 = 1212837360

Therefore, the lowest common multiple of 978,336,688,515,326 is 1212837360.

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 336 x 688 x 515 x 326 = 37956958018560

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

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

515 : 1, 5, 103, 515

326 : 1, 2, 163, 326

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,336,688,515,326, is 1.

Now, the common factors can be found like this.

978:2x 3x 163

336:2x 2x 2x 2x 3x 7

688:2x 2x 2x 2x 43

515:5x 103

326:2x 163

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 2x 3x 163 = 31296

Therefore, the value for common factors is 31296.

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 = 37956958018560/(1x31296)

LCM = 37956958018560/31296

LCM = 1212837360

Thus, we can understand that the LCM of 978,336,688,515,326 is 1212837360.

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

• LCM of 655, 496, 194, 493, 137
• LCM of 210, 723, 550, 342, 852
• LCM of 373, 170, 356, 246, 725
• LCM of 841, 386, 968, 130, 105
• LCM of 580, 875, 284, 304, 226

1. What is the LCM of 978, 336, 688, 515, 326?

Answer: LCM of 978, 336, 688, 515, 326 is 1212837360.

2. How to calculate the LCM of 978, 336, 688, 515, 326?

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, 336, 688, 515, 326.

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}.