Given numbers are 492,377,574,614

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

The LCM of 492,377,574,614 is 398605116.

Find LCM of 492,377,574,614 with Prime Factorization

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

2 x 41 x 6 x 377 x 7 x 307 = 398605116

Therefore, the lowest common multiple of 492,377,574,614 is 398605116.

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.

492 x 377 x 574 x 614 = 65371239024

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.

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

377 : 1, 13, 29, 377

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

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,377,574,614, is 1.

Now, the common factors can be found like this.

492:2x 2x 3x 41

377:13x 29

574:2x 7x 41

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 2x 41 = 164

Therefore, the value for common factors is 164.

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 = 65371239024/(1x164)

LCM = 65371239024/164

LCM = 398605116

Thus, we can understand that the LCM of 492,377,574,614 is 398605116.

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

• LCM of 385, 436, 596, 291
• LCM of 949, 832, 733, 112
• LCM of 133, 673, 936, 576
• LCM of 617, 396, 646, 705
• LCM of 798, 183, 108, 692

1. What is the LCM of 492, 377, 574, 614?

Answer: LCM of 492, 377, 574, 614 is 398605116.

2. How to calculate the LCM of 492, 377, 574, 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 492, 377, 574, 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}.