Given numbers are 460,361,121,354

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

The LCM of 460,361,121,354 is 3556507020.

Find LCM of 460,361,121,354 with Prime Factorization

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

2 x 230 x 361 x 121 x 177 = 3556507020

Therefore, the lowest common multiple of 460,361,121,354 is 3556507020.

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.

460 x 361 x 121 x 354 = 7113014040

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

361 : 1, 19, 361

121 : 1, 11, 121

354 : 1, 2, 3, 6, 59, 118, 177, 354

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,361,121,354, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

361:19x 19

121:11x 11

354:2x 3x 59

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 7113014040/(1x2)

LCM = 7113014040/2

LCM = 3556507020

Thus, we can understand that the LCM of 460,361,121,354 is 3556507020.

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

• LCM of 551, 743, 720, 887
• LCM of 684, 338, 605, 202
• LCM of 234, 289, 376, 646
• LCM of 286, 593, 130, 412
• LCM of 597, 195, 628, 106

1. What is the LCM of 460, 361, 121, 354?

Answer: LCM of 460, 361, 121, 354 is 3556507020.

2. How to calculate the LCM of 460, 361, 121, 354?

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 460, 361, 121, 354.

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}.