Given numbers are 946,213,232,688,736

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

The LCM of 946,213,232,688,736 is 2150386656.

Find LCM of 946,213,232,688,736 with Prime Factorization

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

2 x 2 x 2 x 2 x 43 x 11 x 213 x 29 x 1 x 46 = 2150386656

Therefore, the lowest common multiple of 946,213,232,688,736 is 2150386656.

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.

946 x 213 x 232 x 688 x 736 = 23671456309248

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.

946 : 1, 2, 11, 22, 43, 86, 473, 946

213 : 1, 3, 71, 213

232 : 1, 2, 4, 8, 29, 58, 116, 232

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,213,232,688,736, is 1.

Now, the common factors can be found like this.

946:2x 11x 43

213:3x 71

232:2x 2x 2x 29

688:2x 2x 2x 2x 43

736:2x 2x 2x 2x 2x 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 2x 2x 2x 2x 2x 43 = 11008

Therefore, the value for common factors is 11008.

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 = 23671456309248/(1x11008)

LCM = 23671456309248/11008

LCM = 2150386656

Thus, we can understand that the LCM of 946,213,232,688,736 is 2150386656.

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

• LCM of 549, 526, 715, 757, 456
• LCM of 167, 673, 368, 666, 174
• LCM of 111, 703, 609, 524, 725
• LCM of 712, 610, 820, 262, 929
• LCM of 994, 193, 439, 809, 753

1. What is the LCM of 946, 213, 232, 688, 736?

Answer: LCM of 946, 213, 232, 688, 736 is 2150386656.

2. How to calculate the LCM of 946, 213, 232, 688, 736?

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 946, 213, 232, 688, 736.

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}.