Given numbers are 326,331,402,986,978

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

The LCM of 326,331,402,986,978 is 10692729258.

Find LCM of 326,331,402,986,978 with Prime Factorization

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

2 x 3 x 163 x 1 x 331 x 67 x 493 x 1 = 10692729258

Therefore, the lowest common multiple of 326,331,402,986,978 is 10692729258.

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.

326 x 331 x 402 x 986 x 978 = 41829956857296

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.

326 : 1, 2, 163, 326

331 : 1, 331

402 : 1, 2, 3, 6, 67, 134, 201, 402

986 : 1, 2, 17, 29, 34, 58, 493, 986

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 326,331,402,986,978, is 1.

Now, the common factors can be found like this.

326:2x 163

331:331

402:2x 3x 67

986:2x 17x 29

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.

2x 2x 2x 3x 163 = 3912

Therefore, the value for common factors is 3912.

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 = 41829956857296/(1x3912)

LCM = 41829956857296/3912

LCM = 10692729258

Thus, we can understand that the LCM of 326,331,402,986,978 is 10692729258.

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

• LCM of 371, 391, 670, 404, 683
• LCM of 994, 510, 226, 138, 688
• LCM of 555, 204, 653, 188, 361
• LCM of 322, 437, 733, 633, 672
• LCM of 793, 439, 499, 990, 185

1. What is the LCM of 326, 331, 402, 986, 978?

Answer: LCM of 326, 331, 402, 986, 978 is 10692729258.

2. How to calculate the LCM of 326, 331, 402, 986, 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 326, 331, 402, 986, 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}.