Given numbers are 470,736,737,828

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

The LCM of 470,736,737,828 is 1147243680.

Find LCM of 470,736,737,828 with Prime Factorization

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

2 x 2 x 23 x 235 x 8 x 737 x 9 = 1147243680

Therefore, the lowest common multiple of 470,736,737,828 is 1147243680.

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 736 x 737 x 828 = 211092837120

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

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

737 : 1, 11, 67, 737

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,736,737,828, is 1.

Now, the common factors can be found like this.

470:2x 5x 47

736:2x 2x 2x 2x 2x 23

737:11x 67

828:2x 2x 3x 3x 23

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

2x 2x 2x 23 = 184

Therefore, the value for common factors is 184.

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 = 211092837120/(1x184)

LCM = 211092837120/184

LCM = 1147243680

Thus, we can understand that the LCM of 470,736,737,828 is 1147243680.

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

• LCM of 611, 206, 725, 231
• LCM of 140, 838, 573, 286
• LCM of 687, 320, 336, 952
• LCM of 843, 548, 898, 910
• LCM of 949, 969, 194, 230

1. What is the LCM of 470, 736, 737, 828?

Answer: LCM of 470, 736, 737, 828 is 1147243680.

2. How to calculate the LCM of 470, 736, 737, 828?

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, 736, 737, 828.

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}.