Given numbers are 942,960,242,810

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

The LCM of 942,960,242,810 is 492402240.

Find LCM of 942,960,242,810 with Prime Factorization

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

2 x 3 x 5 x 157 x 32 x 121 x 27 = 492402240

Therefore, the lowest common multiple of 942,960,242,810 is 492402240.

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.

942 x 960 x 242 x 810 = 177264806400

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.

942 : 1, 2, 3, 6, 157, 314, 471, 942

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

242 : 1, 2, 11, 22, 121, 242

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 942,960,242,810, is 2.

Now, the common factors can be found like this.

942:2x 3x 157

960:2x 2x 2x 2x 2x 2x 3x 5

242:2x 11x 11

810:2x 3x 3x 3x 3x 5

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 5 = 180

Therefore, the value for common factors is 180.

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 = 177264806400/(2x180)

LCM = 177264806400/360

LCM = 492402240

Thus, we can understand that the LCM of 942,960,242,810 is 492402240.

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

• LCM of 392, 488, 704, 527
• LCM of 216, 404, 730, 196
• LCM of 797, 513, 608, 308
• LCM of 885, 316, 410, 669
• LCM of 259, 958, 490, 853

1. What is the LCM of 942, 960, 242, 810?

Answer: LCM of 942, 960, 242, 810 is 492402240.

2. How to calculate the LCM of 942, 960, 242, 810?

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 942, 960, 242, 810.

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}.