Given numbers are 302,201,456,921,577

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

The LCM of 302,201,456,921,577 is 817204559928.

Find LCM of 302,201,456,921,577 with Prime Factorization

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

2 x 3 x 151 x 67 x 76 x 307 x 577 = 817204559928

Therefore, the lowest common multiple of 302,201,456,921,577 is 817204559928.

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.

302 x 201 x 456 x 921 x 577 = 14709682078704

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.

302 : 1, 2, 151, 302

201 : 1, 3, 67, 201

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

921 : 1, 3, 307, 921

577 : 1, 577

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,201,456,921,577, is 1.

Now, the common factors can be found like this.

302:2x 151

201:3x 67

456:2x 2x 2x 3x 19

921:3x 307

577:577

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 3 = 18

Therefore, the value for common factors is 18.

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 = 14709682078704/(1x18)

LCM = 14709682078704/18

LCM = 817204559928

Thus, we can understand that the LCM of 302,201,456,921,577 is 817204559928.

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

• LCM of 897, 726, 784, 155, 319
• LCM of 905, 924, 205, 131, 318
• LCM of 985, 563, 922, 742, 595
• LCM of 873, 837, 511, 490, 105
• LCM of 705, 196, 466, 209, 951

1. What is the LCM of 302, 201, 456, 921, 577?

Answer: LCM of 302, 201, 456, 921, 577 is 817204559928.

2. How to calculate the LCM of 302, 201, 456, 921, 577?

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 302, 201, 456, 921, 577.

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}.