Given numbers are 292,728,986,960

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

The LCM of 292,728,986,960 is 3143999040.

Find LCM of 292,728,986,960 with Prime Factorization

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

2 x 2 x 2 x 73 x 91 x 493 x 120 = 3143999040

Therefore, the lowest common multiple of 292,728,986,960 is 3143999040.

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.

292 x 728 x 986 x 960 = 201215938560

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.

292 : 1, 2, 4, 73, 146, 292

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

986 : 1, 2, 17, 29, 34, 58, 493, 986

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 292,728,986,960, is 2.

Now, the common factors can be found like this.

292:2x 2x 73

728:2x 2x 2x 7x 13

986:2x 17x 29

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 2 = 32

Therefore, the value for common factors is 32.

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 = 201215938560/(2x32)

LCM = 201215938560/64

LCM = 3143999040

Thus, we can understand that the LCM of 292,728,986,960 is 3143999040.

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

• LCM of 351, 244, 753, 516
• LCM of 913, 585, 166, 836
• LCM of 639, 460, 579, 209
• LCM of 275, 976, 501, 923
• LCM of 176, 490, 175, 477

1. What is the LCM of 292, 728, 986, 960?

Answer: LCM of 292, 728, 986, 960 is 3143999040.

2. How to calculate the LCM of 292, 728, 986, 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 292, 728, 986, 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}.