Given numbers are 370,208,131,578

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

The LCM of 370,208,131,578 is 1456814320.

Find LCM of 370,208,131,578 with Prime Factorization

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

2 x 185 x 104 x 131 x 289 = 1456814320

Therefore, the lowest common multiple of 370,208,131,578 is 1456814320.

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.

370 x 208 x 131 x 578 = 5827257280

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.

370 : 1, 2, 5, 10, 37, 74, 185, 370

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

131 : 1, 131

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 370,208,131,578, is 1.

Now, the common factors can be found like this.

370:2x 5x 37

208:2x 2x 2x 2x 13

131:131

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 = 5827257280/(1x4)

LCM = 5827257280/4

LCM = 1456814320

Thus, we can understand that the LCM of 370,208,131,578 is 1456814320.

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

• LCM of 984, 925, 437, 611
• LCM of 928, 414, 493, 818
• LCM of 350, 233, 628, 619
• LCM of 899, 503, 797, 950
• LCM of 165, 484, 154, 464

1. What is the LCM of 370, 208, 131, 578?

Answer: LCM of 370, 208, 131, 578 is 1456814320.

2. How to calculate the LCM of 370, 208, 131, 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 370, 208, 131, 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}.