Given numbers are 134,574,120,614

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

The LCM of 134,574,120,614 is 708396360.

Find LCM of 134,574,120,614 with Prime Factorization

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

2 x 67 x 287 x 60 x 307 = 708396360

Therefore, the lowest common multiple of 134,574,120,614 is 708396360.

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.

134 x 574 x 120 x 614 = 5667170880

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.

134 : 1, 2, 67, 134

574 : 1, 2, 7, 14, 41, 82, 287, 574

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

614 : 1, 2, 307, 614

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 134,574,120,614, is 2.

Now, the common factors can be found like this.

134:2x 67

574:2x 7x 41

120:2x 2x 2x 3x 5

614:2x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 5667170880/(2x4)

LCM = 5667170880/8

LCM = 708396360

Thus, we can understand that the LCM of 134,574,120,614 is 708396360.

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

• LCM of 425, 488, 161, 579
• LCM of 846, 661, 660, 786
• LCM of 133, 294, 628, 872
• LCM of 994, 514, 972, 179
• LCM of 901, 404, 521, 223

1. What is the LCM of 134, 574, 120, 614?

Answer: LCM of 134, 574, 120, 614 is 708396360.

2. How to calculate the LCM of 134, 574, 120, 614?

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 134, 574, 120, 614.

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}.