Given numbers are 972,942,841,330,960

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

The LCM of 972,942,841,330,960 is 112939168320.

Find LCM of 972,942,841,330,960 with Prime Factorization

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

2 x 2 x 3 x 5 x 81 x 157 x 841 x 11 x 16 = 112939168320

Therefore, the lowest common multiple of 972,942,841,330,960 is 112939168320.

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.

972 x 942 x 841 x 330 x 960 = 243948603571200

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.

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

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

841 : 1, 29, 841

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,942,841,330,960, is 1.

Now, the common factors can be found like this.

972:2x 2x 3x 3x 3x 3x 3

942:2x 3x 157

841:29x 29

330:2x 3x 5x 11

960:2x 2x 2x 2x 2x 2x 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 2x 2x 3x 3x 3x 5 = 2160

Therefore, the value for common factors is 2160.

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 = 243948603571200/(1x2160)

LCM = 243948603571200/2160

LCM = 112939168320

Thus, we can understand that the LCM of 972,942,841,330,960 is 112939168320.

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

• LCM of 820, 254, 156, 756, 660
• LCM of 293, 123, 949, 478, 870
• LCM of 986, 100, 389, 586, 256
• LCM of 627, 871, 797, 786, 829
• LCM of 847, 625, 830, 670, 489

1. What is the LCM of 972, 942, 841, 330, 960?

Answer: LCM of 972, 942, 841, 330, 960 is 112939168320.

2. How to calculate the LCM of 972, 942, 841, 330, 960?

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 972, 942, 841, 330, 960.

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}.