Given numbers are 957,408,978

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

The LCM of 957,408,978 is 21214776.

Find LCM of 957,408,978 with Prime Factorization

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

2 x 3 x 319 x 68 x 163 = 21214776

Therefore, the lowest common multiple of 957,408,978 is 21214776.

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.

957 x 408 x 978 = 381865968

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.

957 : 1, 3, 11, 29, 33, 87, 319, 957

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,408,978, is 3.

Now, the common factors can be found like this.

957:3x 11x 29

408:2x 2x 2x 3x 17

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 = 381865968/(3x6)

LCM = 381865968/18

LCM = 21214776

Thus, we can understand that the LCM of 957,408,978 is 21214776.

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

• LCM of 605, 872, 112
• LCM of 309, 331, 621
• LCM of 993, 768, 729
• LCM of 685, 729, 758
• LCM of 149, 473, 443

1. What is the LCM of 957, 408, 978?

Answer: LCM of 957, 408, 978 is 21214776.

2. How to calculate the LCM of 957, 408, 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 957, 408, 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}.