Given numbers are 467,56,978

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

The LCM of 467,56,978 is 12788328.

Find LCM of 467,56,978 with Prime Factorization

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

2 x 467 x 28 x 489 = 12788328

Therefore, the lowest common multiple of 467,56,978 is 12788328.

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.

467 x 56 x 978 = 25576656

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.

467 : 1, 467

56 : 1, 2, 4, 7, 8, 14, 28, 56

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 467,56,978, is 1.

Now, the common factors can be found like this.

467:467

56:2x 2x 2x 7

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 25576656/(1x2)

LCM = 25576656/2

LCM = 12788328

Thus, we can understand that the LCM of 467,56,978 is 12788328.

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

• LCM of 689, 88, 845
• LCM of 638, 89, 136
• LCM of 712, 87, 168
• LCM of 523, 14, 122
• LCM of 138, 95, 112

1. What is the LCM of 467, 56, 978?

Answer: LCM of 467, 56, 978 is 12788328.

2. How to calculate the LCM of 467, 56, 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 467, 56, 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}.