Given numbers are 598,720,714,612

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

The LCM of 598,720,714,612 is 25618320.

Find LCM of 598,720,714,612 with Prime Factorization

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

2 x 2 x 3 x 3 x 17 x 299 x 20 x 7 x 1 = 25618320

Therefore, the lowest common multiple of 598,720,714,612 is 25618320.

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.

598 x 720 x 714 x 612 = 188140942080

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.

598 : 1, 2, 13, 23, 26, 46, 299, 598

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,720,714,612, is 2.

Now, the common factors can be found like this.

598:2x 13x 23

720:2x 2x 2x 2x 3x 3x 5

714:2x 3x 7x 17

612:2x 2x 3x 3x 17

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 3x 3x 3x 17 = 3672

Therefore, the value for common factors is 3672.

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 = 188140942080/(2x3672)

LCM = 188140942080/7344

LCM = 25618320

Thus, we can understand that the LCM of 598,720,714,612 is 25618320.

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

• LCM of 523, 479, 730, 549
• LCM of 306, 300, 265, 268
• LCM of 659, 901, 849, 427
• LCM of 353, 850, 648, 631
• LCM of 627, 832, 817, 181

1. What is the LCM of 598, 720, 714, 612?

Answer: LCM of 598, 720, 714, 612 is 25618320.

2. How to calculate the LCM of 598, 720, 714, 612?

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 598, 720, 714, 612.

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}.