Given numbers are 629,380,134,201,314

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

The LCM of 629,380,134,201,314 is 7542754140.

Find LCM of 629,380,134,201,314 with Prime Factorization

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

2 x 67 x 629 x 190 x 1 x 3 x 157 = 7542754140

Therefore, the lowest common multiple of 629,380,134,201,314 is 7542754140.

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.

629 x 380 x 134 x 201 x 314 = 2021458109520

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.

629 : 1, 17, 37, 629

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

134 : 1, 2, 67, 134

201 : 1, 3, 67, 201

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 629,380,134,201,314, is 1.

Now, the common factors can be found like this.

629:17x 37

380:2x 2x 5x 19

134:2x 67

201:3x 67

314:2x 157

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 67 = 268

Therefore, the value for common factors is 268.

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 = 2021458109520/(1x268)

LCM = 2021458109520/268

LCM = 7542754140

Thus, we can understand that the LCM of 629,380,134,201,314 is 7542754140.

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

• LCM of 590, 135, 660, 927, 758
• LCM of 974, 281, 391, 641, 464
• LCM of 111, 558, 769, 445, 991
• LCM of 396, 978, 281, 485, 875
• LCM of 756, 607, 496, 395, 130

1. What is the LCM of 629, 380, 134, 201, 314?

Answer: LCM of 629, 380, 134, 201, 314 is 7542754140.

2. How to calculate the LCM of 629, 380, 134, 201, 314?

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 629, 380, 134, 201, 314.

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}.