Given numbers are 290,326,278,168

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

The LCM of 290,326,278,168 is 551924520.

Find LCM of 290,326,278,168 with Prime Factorization

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

2 x 145 x 163 x 139 x 84 = 551924520

Therefore, the lowest common multiple of 290,326,278,168 is 551924520.

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 326 x 278 x 168 = 4415396160

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

326 : 1, 2, 163, 326

278 : 1, 2, 139, 278

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,326,278,168, is 2.

Now, the common factors can be found like this.

290:2x 5x 29

326:2x 163

278:2x 139

168:2x 2x 2x 3x 7

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 = 4415396160/(2x4)

LCM = 4415396160/8

LCM = 551924520

Thus, we can understand that the LCM of 290,326,278,168 is 551924520.

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

• LCM of 249, 417, 240, 806
• LCM of 533, 878, 435, 856
• LCM of 238, 266, 187, 202
• LCM of 756, 707, 595, 246
• LCM of 738, 619, 595, 230

1. What is the LCM of 290, 326, 278, 168?

Answer: LCM of 290, 326, 278, 168 is 551924520.

2. How to calculate the LCM of 290, 326, 278, 168?

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, 326, 278, 168.

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}.