Given numbers are 290,232,341,754

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

The LCM of 290,232,341,754 is 5142280.

Find LCM of 290,232,341,754 with Prime Factorization

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

2 x 29 x 5 x 4 x 341 x 13 = 5142280

Therefore, the lowest common multiple of 290,232,341,754 is 5142280.

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.

290 x 232 x 341 x 754 = 17298629920

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.

290 : 1, 2, 5, 10, 29, 58, 145, 290

232 : 1, 2, 4, 8, 29, 58, 116, 232

341 : 1, 11, 31, 341

754 : 1, 2, 13, 26, 29, 58, 377, 754

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,232,341,754, is 1.

Now, the common factors can be found like this.

290:2x 5x 29

232:2x 2x 2x 29

341:11x 31

754:2x 13x 29

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 29x 29 = 3364

Therefore, the value for common factors is 3364.

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 = 17298629920/(1x3364)

LCM = 17298629920/3364

LCM = 5142280

Thus, we can understand that the LCM of 290,232,341,754 is 5142280.

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

• LCM of 600, 564, 766, 313
• LCM of 269, 479, 111, 978
• LCM of 417, 692, 623, 323
• LCM of 535, 106, 955, 731
• LCM of 327, 600, 434, 351

1. What is the LCM of 290, 232, 341, 754?

Answer: LCM of 290, 232, 341, 754 is 5142280.

2. How to calculate the LCM of 290, 232, 341, 754?

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 290, 232, 341, 754.

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}.