Given numbers are 148,259,814,201,921

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

The LCM of 148,259,814,201,921 is 703212972.

Find LCM of 148,259,814,201,921 with Prime Factorization

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

2 x 3 x 37 x 2 x 7 x 11 x 67 x 307 = 703212972

Therefore, the lowest common multiple of 148,259,814,201,921 is 703212972.

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.

148 x 259 x 814 x 201 x 921 = 5776191352008

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.

148 : 1, 2, 4, 37, 74, 148

259 : 1, 7, 37, 259

814 : 1, 2, 11, 22, 37, 74, 407, 814

201 : 1, 3, 67, 201

921 : 1, 3, 307, 921

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 148,259,814,201,921, is 1.

Now, the common factors can be found like this.

148:2x 2x 37

259:7x 37

814:2x 11x 37

201:3x 67

921:3x 307

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

2x 3x 37x 37 = 8214

Therefore, the value for common factors is 8214.

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 = 5776191352008/(1x8214)

LCM = 5776191352008/8214

LCM = 703212972

Thus, we can understand that the LCM of 148,259,814,201,921 is 703212972.

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

• LCM of 896, 412, 894, 200, 365
• LCM of 981, 390, 451, 796, 120
• LCM of 328, 874, 442, 615, 292
• LCM of 995, 653, 486, 334, 281
• LCM of 799, 464, 128, 815, 661

1. What is the LCM of 148, 259, 814, 201, 921?

Answer: LCM of 148, 259, 814, 201, 921 is 703212972.

2. How to calculate the LCM of 148, 259, 814, 201, 921?

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 148, 259, 814, 201, 921.

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}.