Given numbers are 945,268,201,740,536

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

The LCM of 945,268,201,740,536 is 18741240.

Find LCM of 945,268,201,740,536 with Prime Factorization

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

2 x 2 x 3 x 5 x 67 x 63 x 1 x 1 x 37 x 2 = 18741240

Therefore, the lowest common multiple of 945,268,201,740,536 is 18741240.

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.

945 x 268 x 201 x 740 x 536 = 20191062326400

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.

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

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

201 : 1, 3, 67, 201

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 945,268,201,740,536, is 1.

Now, the common factors can be found like this.

945:3x 3x 3x 5x 7

268:2x 2x 67

201:3x 67

740:2x 2x 5x 37

536:2x 2x 2x 67

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

2x 2x 2x 2x 3x 5x 67x 67 = 1077360

Therefore, the value for common factors is 1077360.

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 = 20191062326400/(1x1077360)

LCM = 20191062326400/1077360

LCM = 18741240

Thus, we can understand that the LCM of 945,268,201,740,536 is 18741240.

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

• LCM of 699, 460, 776, 231, 248
• LCM of 382, 614, 631, 991, 606
• LCM of 950, 324, 156, 797, 467
• LCM of 760, 785, 674, 454, 555
• LCM of 538, 544, 532, 105, 441

1. What is the LCM of 945, 268, 201, 740, 536?

Answer: LCM of 945, 268, 201, 740, 536 is 18741240.

2. How to calculate the LCM of 945, 268, 201, 740, 536?

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 945, 268, 201, 740, 536.

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}.