Given numbers are 470,473,361,968

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

The LCM of 470,473,361,968 is 3531172040.

Find LCM of 470,473,361,968 with Prime Factorization

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

2 x 11 x 235 x 43 x 361 x 44 = 3531172040

Therefore, the lowest common multiple of 470,473,361,968 is 3531172040.

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.

470 x 473 x 361 x 968 = 77685784880

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.

470 : 1, 2, 5, 10, 47, 94, 235, 470

473 : 1, 11, 43, 473

361 : 1, 19, 361

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,473,361,968, is 1.

Now, the common factors can be found like this.

470:2x 5x 47

473:11x 43

361:19x 19

968:2x 2x 2x 11x 11

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 77685784880/(1x22)

LCM = 77685784880/22

LCM = 3531172040

Thus, we can understand that the LCM of 470,473,361,968 is 3531172040.

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

• LCM of 832, 743, 584, 419
• LCM of 544, 111, 925, 260
• LCM of 679, 797, 238, 965
• LCM of 616, 297, 781, 677
• LCM of 112, 244, 511, 484

1. What is the LCM of 470, 473, 361, 968?

Answer: LCM of 470, 473, 361, 968 is 3531172040.

2. How to calculate the LCM of 470, 473, 361, 968?

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 470, 473, 361, 968.

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}.