Given numbers are 460,533,161,542

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

The LCM of 460,533,161,542 is 465106460.

Find LCM of 460,533,161,542 with Prime Factorization

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

2 x 23 x 10 x 533 x 7 x 271 = 465106460

Therefore, the lowest common multiple of 460,533,161,542 is 465106460.

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 533 x 161 x 542 = 21394897160

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

533 : 1, 13, 41, 533

161 : 1, 7, 23, 161

542 : 1, 2, 271, 542

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,533,161,542, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

533:13x 41

161:7x 23

542:2x 271

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

2x 23 = 46

Therefore, the value for common factors is 46.

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 = 21394897160/(1x46)

LCM = 21394897160/46

LCM = 465106460

Thus, we can understand that the LCM of 460,533,161,542 is 465106460.

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

• LCM of 103, 167, 558, 249
• LCM of 852, 120, 594, 242
• LCM of 524, 847, 154, 768
• LCM of 491, 218, 636, 336
• LCM of 845, 890, 857, 913

1. What is the LCM of 460, 533, 161, 542?

Answer: LCM of 460, 533, 161, 542 is 465106460.

2. How to calculate the LCM of 460, 533, 161, 542?

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, 533, 161, 542.

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}.