Given numbers are 698,270,842,728

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

The LCM of 698,270,842,728 is 14440182120.

Find LCM of 698,270,842,728 with Prime Factorization

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

2 x 349 x 135 x 421 x 364 = 14440182120

Therefore, the lowest common multiple of 698,270,842,728 is 14440182120.

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.

698 x 270 x 842 x 728 = 115521456960

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.

698 : 1, 2, 349, 698

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

842 : 1, 2, 421, 842

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,270,842,728, is 2.

Now, the common factors can be found like this.

698:2x 349

270:2x 3x 3x 3x 5

842:2x 421

728:2x 2x 2x 7x 13

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 115521456960/(2x4)

LCM = 115521456960/8

LCM = 14440182120

Thus, we can understand that the LCM of 698,270,842,728 is 14440182120.

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

• LCM of 893, 528, 655, 650
• LCM of 153, 216, 640, 461
• LCM of 640, 491, 278, 827
• LCM of 180, 274, 978, 987
• LCM of 489, 882, 847, 645

1. What is the LCM of 698, 270, 842, 728?

Answer: LCM of 698, 270, 842, 728 is 14440182120.

2. How to calculate the LCM of 698, 270, 842, 728?

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 698, 270, 842, 728.

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}.