Given numbers are 377,586,506,578

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

The LCM of 377,586,506,578 is 16153153874.

Find LCM of 377,586,506,578 with Prime Factorization

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

2 x 377 x 293 x 253 x 289 = 16153153874

Therefore, the lowest common multiple of 377,586,506,578 is 16153153874.

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.

377 x 586 x 506 x 578 = 64612615496

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.

377 : 1, 13, 29, 377

586 : 1, 2, 293, 586

506 : 1, 2, 11, 22, 23, 46, 253, 506

578 : 1, 2, 17, 34, 289, 578

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,586,506,578, is 1.

Now, the common factors can be found like this.

377:13x 29

586:2x 293

506:2x 11x 23

578:2x 17x 17

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 = 64612615496/(1x4)

LCM = 64612615496/4

LCM = 16153153874

Thus, we can understand that the LCM of 377,586,506,578 is 16153153874.

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

• LCM of 976, 380, 462, 805
• LCM of 504, 923, 802, 698
• LCM of 945, 664, 616, 925
• LCM of 942, 705, 273, 232
• LCM of 122, 447, 656, 958

1. What is the LCM of 377, 586, 506, 578?

Answer: LCM of 377, 586, 506, 578 is 16153153874.

2. How to calculate the LCM of 377, 586, 506, 578?

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 377, 586, 506, 578.

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}.