Given numbers are 838,546,176,402,668

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

The LCM of 838,546,176,402,668 is 225258201168.

Find LCM of 838,546,176,402,668 with Prime Factorization

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

2 x 2 x 3 x 419 x 91 x 44 x 67 x 167 = 225258201168

Therefore, the lowest common multiple of 838,546,176,402,668 is 225258201168.

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.

838 x 546 x 176 x 402 x 668 = 21624787312128

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.

838 : 1, 2, 419, 838

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

402 : 1, 2, 3, 6, 67, 134, 201, 402

668 : 1, 2, 4, 167, 334, 668

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 838,546,176,402,668, is 2.

Now, the common factors can be found like this.

838:2x 419

546:2x 3x 7x 13

176:2x 2x 2x 2x 11

402:2x 3x 67

668:2x 2x 167

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 3 = 48

Therefore, the value for common factors is 48.

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 = 21624787312128/(2x48)

LCM = 21624787312128/96

LCM = 225258201168

Thus, we can understand that the LCM of 838,546,176,402,668 is 225258201168.

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

• LCM of 193, 373, 421, 392, 801
• LCM of 852, 173, 885, 232, 100
• LCM of 105, 274, 549, 422, 111
• LCM of 916, 604, 802, 786, 220
• LCM of 605, 957, 235, 164, 366

1. What is the LCM of 838, 546, 176, 402, 668?

Answer: LCM of 838, 546, 176, 402, 668 is 225258201168.

2. How to calculate the LCM of 838, 546, 176, 402, 668?

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 838, 546, 176, 402, 668.

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}.