Given numbers are 741,164,315,219

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

The LCM of 741,164,315,219 is 931481460.

Find LCM of 741,164,315,219 with Prime Factorization

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

3 x 247 x 164 x 105 x 73 = 931481460

Therefore, the lowest common multiple of 741,164,315,219 is 931481460.

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.

741 x 164 x 315 x 219 = 8383333140

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.

741 : 1, 3, 13, 19, 39, 57, 247, 741

164 : 1, 2, 4, 41, 82, 164

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

219 : 1, 3, 73, 219

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,164,315,219, is 1.

Now, the common factors can be found like this.

741:3x 13x 19

164:2x 2x 41

315:3x 3x 5x 7

219:3x 73

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 8383333140/(1x9)

LCM = 8383333140/9

LCM = 931481460

Thus, we can understand that the LCM of 741,164,315,219 is 931481460.

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

• LCM of 828, 523, 928, 356
• LCM of 615, 442, 670, 127
• LCM of 954, 669, 921, 478
• LCM of 637, 490, 285, 676
• LCM of 834, 393, 140, 961

1. What is the LCM of 741, 164, 315, 219?

Answer: LCM of 741, 164, 315, 219 is 931481460.

2. How to calculate the LCM of 741, 164, 315, 219?

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 741, 164, 315, 219.

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}.