Given numbers are 315,221,212,533,473

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

The LCM of 315,221,212,533,473 is 286209263340.

Find LCM of 315,221,212,533,473 with Prime Factorization

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

13 x 315 x 17 x 212 x 41 x 473 = 286209263340

Therefore, the lowest common multiple of 315,221,212,533,473 is 286209263340.

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.

315 x 221 x 212 x 533 x 473 = 3720720423420

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.

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

221 : 1, 13, 17, 221

212 : 1, 2, 4, 53, 106, 212

533 : 1, 13, 41, 533

473 : 1, 11, 43, 473

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,221,212,533,473, is 1.

Now, the common factors can be found like this.

315:3x 3x 5x 7

221:13x 17

212:2x 2x 53

533:13x 41

473:11x 43

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

13 = 13

Therefore, the value for common factors is 13.

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 = 3720720423420/(1x13)

LCM = 3720720423420/13

LCM = 286209263340

Thus, we can understand that the LCM of 315,221,212,533,473 is 286209263340.

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

• LCM of 145, 582, 902, 395, 121
• LCM of 907, 330, 818, 102, 161
• LCM of 425, 591, 783, 339, 113
• LCM of 968, 917, 297, 429, 137
• LCM of 521, 978, 576, 962, 728

1. What is the LCM of 315, 221, 212, 533, 473?

Answer: LCM of 315, 221, 212, 533, 473 is 286209263340.

2. How to calculate the LCM of 315, 221, 212, 533, 473?

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 315, 221, 212, 533, 473.

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}.