Given numbers are 363,190,201,117,615

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

The LCM of 363,190,201,117,615 is 7388963010.

Find LCM of 363,190,201,117,615 with Prime Factorization

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

3 x 5 x 121 x 38 x 67 x 39 x 41 = 7388963010

Therefore, the lowest common multiple of 363,190,201,117,615 is 7388963010.

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.

363 x 190 x 201 x 117 x 615 = 997510006350

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.

363 : 1, 3, 11, 33, 121, 363

190 : 1, 2, 5, 10, 19, 38, 95, 190

201 : 1, 3, 67, 201

117 : 1, 3, 9, 13, 39, 117

615 : 1, 3, 5, 15, 41, 123, 205, 615

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,190,201,117,615, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

190:2x 5x 19

201:3x 67

117:3x 3x 13

615:3x 5x 41

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

3x 3x 3x 5 = 135

Therefore, the value for common factors is 135.

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 = 997510006350/(1x135)

LCM = 997510006350/135

LCM = 7388963010

Thus, we can understand that the LCM of 363,190,201,117,615 is 7388963010.

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

• LCM of 492, 445, 510, 928, 251
• LCM of 852, 198, 827, 184, 627
• LCM of 661, 827, 757, 784, 714
• LCM of 174, 127, 665, 268, 358
• LCM of 649, 720, 977, 536, 903

1. What is the LCM of 363, 190, 201, 117, 615?

Answer: LCM of 363, 190, 201, 117, 615 is 7388963010.

2. How to calculate the LCM of 363, 190, 201, 117, 615?

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 363, 190, 201, 117, 615.

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}.