Given numbers are 364,201,153,370

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

The LCM of 364,201,153,370 is 690302340.

Find LCM of 364,201,153,370 with Prime Factorization

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

2 x 3 x 182 x 67 x 51 x 185 = 690302340

Therefore, the lowest common multiple of 364,201,153,370 is 690302340.

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.

364 x 201 x 153 x 370 = 4141814040

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

201 : 1, 3, 67, 201

153 : 1, 3, 9, 17, 51, 153

370 : 1, 2, 5, 10, 37, 74, 185, 370

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,201,153,370, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

201:3x 67

153:3x 3x 17

370:2x 5x 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 = 4141814040/(1x6)

LCM = 4141814040/6

LCM = 690302340

Thus, we can understand that the LCM of 364,201,153,370 is 690302340.

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

• LCM of 172, 436, 492, 305
• LCM of 197, 840, 734, 830
• LCM of 886, 458, 707, 307
• LCM of 656, 212, 582, 475
• LCM of 360, 869, 631, 514

1. What is the LCM of 364, 201, 153, 370?

Answer: LCM of 364, 201, 153, 370 is 690302340.

2. How to calculate the LCM of 364, 201, 153, 370?

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 364, 201, 153, 370.

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}.