Given numbers are 351,404,978

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

The LCM of 351,404,978 is 23114052.

Find LCM of 351,404,978 with Prime Factorization

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

2 x 3 x 117 x 202 x 163 = 23114052

Therefore, the lowest common multiple of 351,404,978 is 23114052.

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.

351 x 404 x 978 = 138684312

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.

351 : 1, 3, 9, 13, 27, 39, 117, 351

404 : 1, 2, 4, 101, 202, 404

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 351,404,978, is 1.

Now, the common factors can be found like this.

351:3x 3x 3x 13

404:2x 2x 101

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 3 = 6

Therefore, the value for common factors is 6.

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 = 138684312/(1x6)

LCM = 138684312/6

LCM = 23114052

Thus, we can understand that the LCM of 351,404,978 is 23114052.

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

• LCM of 319, 422, 894
• LCM of 818, 993, 804
• LCM of 215, 845, 518
• LCM of 735, 929, 575
• LCM of 218, 731, 916

1. What is the LCM of 351, 404, 978?

Answer: LCM of 351, 404, 978 is 23114052.

2. How to calculate the LCM of 351, 404, 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 351, 404, 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}.