Given numbers are 630,612,617,678

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

The LCM of 630,612,617,678 is 1493423820.

Find LCM of 630,612,617,678 with Prime Factorization

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

2 x 3 x 3 x 35 x 34 x 617 x 113 = 1493423820

Therefore, the lowest common multiple of 630,612,617,678 is 1493423820.

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.

630 x 612 x 617 x 678 = 161289772560

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.

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

617 : 1, 617

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,612,617,678, is 1.

Now, the common factors can be found like this.

630:2x 3x 3x 5x 7

612:2x 2x 3x 3x 17

617:617

678:2x 3x 113

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 161289772560/(1x108)

LCM = 161289772560/108

LCM = 1493423820

Thus, we can understand that the LCM of 630,612,617,678 is 1493423820.

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

• LCM of 116, 460, 382, 189
• LCM of 575, 248, 419, 131
• LCM of 613, 449, 918, 520
• LCM of 668, 142, 474, 263
• LCM of 270, 462, 400, 302

1. What is the LCM of 630, 612, 617, 678?

Answer: LCM of 630, 612, 617, 678 is 1493423820.

2. How to calculate the LCM of 630, 612, 617, 678?

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 630, 612, 617, 678.

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}.