Given numbers are 978,534,907,108,289

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

The LCM of 978,534,907,108,289 is 410682782988.

Find LCM of 978,534,907,108,289 with Prime Factorization

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

2 x 3 x 163 x 89 x 907 x 18 x 289 = 410682782988

Therefore, the lowest common multiple of 978,534,907,108,289 is 410682782988.

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 534 x 907 x 108 x 289 = 14784580187568

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

534 : 1, 2, 3, 6, 89, 178, 267, 534

907 : 1, 907

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

289 : 1, 17, 289

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,534,907,108,289, is 1.

Now, the common factors can be found like this.

978:2x 3x 163

534:2x 3x 89

907:907

108:2x 2x 3x 3x 3

289:17x 17

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 3 = 36

Therefore, the value for common factors is 36.

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 = 14784580187568/(1x36)

LCM = 14784580187568/36

LCM = 410682782988

Thus, we can understand that the LCM of 978,534,907,108,289 is 410682782988.

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

• LCM of 350, 757, 120, 417, 385
• LCM of 434, 162, 233, 743, 251
• LCM of 121, 945, 108, 699, 782
• LCM of 911, 166, 245, 213, 658
• LCM of 597, 307, 360, 983, 530

1. What is the LCM of 978, 534, 907, 108, 289?

Answer: LCM of 978, 534, 907, 108, 289 is 410682782988.

2. How to calculate the LCM of 978, 534, 907, 108, 289?

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, 534, 907, 108, 289.

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}.