Given numbers are 678,221,414,175

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

The LCM of 678,221,414,175 is 1809293850.

Find LCM of 678,221,414,175 with Prime Factorization

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

2 x 3 x 113 x 221 x 69 x 175 = 1809293850

Therefore, the lowest common multiple of 678,221,414,175 is 1809293850.

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.

678 x 221 x 414 x 175 = 10855763100

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.

678 : 1, 2, 3, 6, 113, 226, 339, 678

221 : 1, 13, 17, 221

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

175 : 1, 5, 7, 25, 35, 175

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,221,414,175, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

221:13x 17

414:2x 3x 3x 23

175:5x 5x 7

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 10855763100/(1x6)

LCM = 10855763100/6

LCM = 1809293850

Thus, we can understand that the LCM of 678,221,414,175 is 1809293850.

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

• LCM of 245, 675, 291, 612
• LCM of 326, 106, 284, 949
• LCM of 148, 253, 442, 397
• LCM of 253, 466, 843, 150
• LCM of 826, 476, 924, 533

1. What is the LCM of 678, 221, 414, 175?

Answer: LCM of 678, 221, 414, 175 is 1809293850.

2. How to calculate the LCM of 678, 221, 414, 175?

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 678, 221, 414, 175.

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}.