Given numbers are 178,163,212,378

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

The LCM of 178,163,212,378 is 581266476.

Find LCM of 178,163,212,378 with Prime Factorization

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

2 x 89 x 163 x 106 x 189 = 581266476

Therefore, the lowest common multiple of 178,163,212,378 is 581266476.

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.

178 x 163 x 212 x 378 = 2325065904

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.

178 : 1, 2, 89, 178

163 : 1, 163

212 : 1, 2, 4, 53, 106, 212

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 178,163,212,378, is 1.

Now, the common factors can be found like this.

178:2x 89

163:163

212:2x 2x 53

378:2x 3x 3x 3x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 2325065904/(1x4)

LCM = 2325065904/4

LCM = 581266476

Thus, we can understand that the LCM of 178,163,212,378 is 581266476.

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

• LCM of 894, 156, 496, 126
• LCM of 417, 253, 794, 523
• LCM of 475, 978, 192, 777
• LCM of 425, 186, 469, 810
• LCM of 453, 193, 677, 558

1. What is the LCM of 178, 163, 212, 378?

Answer: LCM of 178, 163, 212, 378 is 581266476.

2. How to calculate the LCM of 178, 163, 212, 378?

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 178, 163, 212, 378.

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}.