Given numbers are 362,201,536,749

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

The LCM of 362,201,536,749 is 217994952.

Find LCM of 362,201,536,749 with Prime Factorization

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

2 x 67 x 181 x 3 x 4 x 749 = 217994952

Therefore, the lowest common multiple of 362,201,536,749 is 217994952.

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.

362 x 201 x 536 x 749 = 29211323568

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.

362 : 1, 2, 181, 362

201 : 1, 3, 67, 201

536 : 1, 2, 4, 8, 67, 134, 268, 536

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,201,536,749, is 1.

Now, the common factors can be found like this.

362:2x 181

201:3x 67

536:2x 2x 2x 67

749:7x 107

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

2x 67 = 134

Therefore, the value for common factors is 134.

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 = 29211323568/(1x134)

LCM = 29211323568/134

LCM = 217994952

Thus, we can understand that the LCM of 362,201,536,749 is 217994952.

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

• LCM of 236, 544, 699, 810
• LCM of 780, 460, 999, 400
• LCM of 462, 695, 645, 987
• LCM of 149, 346, 748, 499
• LCM of 192, 808, 447, 942

1. What is the LCM of 362, 201, 536, 749?

Answer: LCM of 362, 201, 536, 749 is 217994952.

2. How to calculate the LCM of 362, 201, 536, 749?

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 362, 201, 536, 749.

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}.