Given numbers are 513,160,361,31

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

The LCM of 513,160,361,31 is 48345120.

Find LCM of 513,160,361,31 with Prime Factorization

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

19 x 27 x 160 x 19 x 31 = 48345120

Therefore, the lowest common multiple of 513,160,361,31 is 48345120.

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.

513 x 160 x 361 x 31 = 918557280

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.

513 : 1, 3, 9, 19, 27, 57, 171, 513

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

361 : 1, 19, 361

31 : 1, 31

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,160,361,31, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

160:2x 2x 2x 2x 2x 5

361:19x 19

31:31

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

19 = 19

Therefore, the value for common factors is 19.

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 = 918557280/(1x19)

LCM = 918557280/19

LCM = 48345120

Thus, we can understand that the LCM of 513,160,361,31 is 48345120.

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

• LCM of 329, 684, 939, 10
• LCM of 139, 945, 977, 57
• LCM of 130, 497, 251, 28
• LCM of 807, 956, 104, 49
• LCM of 573, 257, 949, 76

1. What is the LCM of 513, 160, 361, 31?

Answer: LCM of 513, 160, 361, 31 is 48345120.

2. How to calculate the LCM of 513, 160, 361, 31?

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 513, 160, 361, 31.

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}.