Given numbers are 401,362,133,152

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

The LCM of 401,362,133,152 is 77226184.

Find LCM of 401,362,133,152 with Prime Factorization

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

2 x 19 x 401 x 181 x 7 x 4 = 77226184

Therefore, the lowest common multiple of 401,362,133,152 is 77226184.

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.

401 x 362 x 133 x 152 = 2934594992

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.

401 : 1, 401

362 : 1, 2, 181, 362

133 : 1, 7, 19, 133

152 : 1, 2, 4, 8, 19, 38, 76, 152

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,362,133,152, is 1.

Now, the common factors can be found like this.

401:401

362:2x 181

133:7x 19

152:2x 2x 2x 19

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

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 2934594992/(1x38)

LCM = 2934594992/38

LCM = 77226184

Thus, we can understand that the LCM of 401,362,133,152 is 77226184.

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

• LCM of 285, 836, 825, 445
• LCM of 364, 670, 600, 588
• LCM of 990, 721, 129, 522
• LCM of 384, 939, 247, 289
• LCM of 670, 741, 188, 530

1. What is the LCM of 401, 362, 133, 152?

Answer: LCM of 401, 362, 133, 152 is 77226184.

2. How to calculate the LCM of 401, 362, 133, 152?

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 401, 362, 133, 152.

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}.