Given numbers are 135,161,178,444

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

The LCM of 135,161,178,444 is 286293420.

Find LCM of 135,161,178,444 with Prime Factorization

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

2 x 3 x 45 x 161 x 89 x 74 = 286293420

Therefore, the lowest common multiple of 135,161,178,444 is 286293420.

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.

135 x 161 x 178 x 444 = 1717760520

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.

135 : 1, 3, 5, 9, 15, 27, 45, 135

161 : 1, 7, 23, 161

178 : 1, 2, 89, 178

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,161,178,444, is 1.

Now, the common factors can be found like this.

135:3x 3x 3x 5

161:7x 23

178:2x 89

444:2x 2x 3x 37

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 = 1717760520/(1x6)

LCM = 1717760520/6

LCM = 286293420

Thus, we can understand that the LCM of 135,161,178,444 is 286293420.

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

• LCM of 224, 976, 122, 848
• LCM of 656, 341, 363, 706
• LCM of 292, 759, 389, 402
• LCM of 202, 692, 428, 928
• LCM of 917, 984, 412, 475

1. What is the LCM of 135, 161, 178, 444?

Answer: LCM of 135, 161, 178, 444 is 286293420.

2. How to calculate the LCM of 135, 161, 178, 444?

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 135, 161, 178, 444.

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}.