Given numbers are 46,39,978

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

The LCM of 46,39,978 is 292422.

Find LCM of 46,39,978 with Prime Factorization

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

2 x 3 x 23 x 13 x 163 = 292422

Therefore, the lowest common multiple of 46,39,978 is 292422.

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.

46 x 39 x 978 = 1754532

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.

46 : 1, 2, 23, 46

39 : 1, 3, 13, 39

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 46,39,978, is 1.

Now, the common factors can be found like this.

46:2x 23

39:3x 13

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 = 1754532/(1x6)

LCM = 1754532/6

LCM = 292422

Thus, we can understand that the LCM of 46,39,978 is 292422.

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

• LCM of 32, 14, 721
• LCM of 21, 84, 663
• LCM of 49, 85, 559
• LCM of 32, 37, 444
• LCM of 21, 98, 242

1. What is the LCM of 46, 39, 978?

Answer: LCM of 46, 39, 978 is 292422.

2. How to calculate the LCM of 46, 39, 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 46, 39, 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}.