Given numbers are 614,201,946,344

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

The LCM of 614,201,946,344 is 233499288.

Find LCM of 614,201,946,344 with Prime Factorization

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

2 x 43 x 307 x 201 x 11 x 4 = 233499288

Therefore, the lowest common multiple of 614,201,946,344 is 233499288.

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.

614 x 201 x 946 x 344 = 40161877536

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.

614 : 1, 2, 307, 614

201 : 1, 3, 67, 201

946 : 1, 2, 11, 22, 43, 86, 473, 946

344 : 1, 2, 4, 8, 43, 86, 172, 344

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,201,946,344, is 1.

Now, the common factors can be found like this.

614:2x 307

201:3x 67

946:2x 11x 43

344:2x 2x 2x 43

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 43 = 172

Therefore, the value for common factors is 172.

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 = 40161877536/(1x172)

LCM = 40161877536/172

LCM = 233499288

Thus, we can understand that the LCM of 614,201,946,344 is 233499288.

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

• LCM of 557, 334, 639, 695
• LCM of 416, 752, 296, 640
• LCM of 612, 586, 944, 473
• LCM of 310, 833, 615, 226
• LCM of 994, 497, 519, 504

1. What is the LCM of 614, 201, 946, 344?

Answer: LCM of 614, 201, 946, 344 is 233499288.

2. How to calculate the LCM of 614, 201, 946, 344?

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 614, 201, 946, 344.

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}.