Given numbers are 692,312,660,492,987

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

The LCM of 692,312,660,492,987 is 40044524520.

Find LCM of 692,312,660,492,987 with Prime Factorization

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

2 x 2 x 3 x 173 x 26 x 55 x 41 x 329 = 40044524520

Therefore, the lowest common multiple of 692,312,660,492,987 is 40044524520.

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.

692 x 312 x 660 x 492 x 987 = 69196938370560

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.

692 : 1, 2, 4, 173, 346, 692

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

987 : 1, 3, 7, 21, 47, 141, 329, 987

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 692,312,660,492,987, is 1.

Now, the common factors can be found like this.

692:2x 2x 173

312:2x 2x 2x 3x 13

660:2x 2x 3x 5x 11

492:2x 2x 3x 41

987:3x 7x 47

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 2x 2x 3x 3x 3 = 1728

Therefore, the value for common factors is 1728.

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 = 69196938370560/(1x1728)

LCM = 69196938370560/1728

LCM = 40044524520

Thus, we can understand that the LCM of 692,312,660,492,987 is 40044524520.

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

• LCM of 804, 151, 748, 237, 431
• LCM of 270, 898, 440, 654, 508
• LCM of 764, 424, 949, 742, 461
• LCM of 827, 629, 892, 769, 560
• LCM of 925, 398, 620, 767, 993

1. What is the LCM of 692, 312, 660, 492, 987?

Answer: LCM of 692, 312, 660, 492, 987 is 40044524520.

2. How to calculate the LCM of 692, 312, 660, 492, 987?

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 692, 312, 660, 492, 987.

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}.