Given numbers are 360,942,975,646

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

The LCM of 360,942,975,646 is 1186637400.

Find LCM of 360,942,975,646 with Prime Factorization

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

2 x 3 x 5 x 12 x 157 x 65 x 323 = 1186637400

Therefore, the lowest common multiple of 360,942,975,646 is 1186637400.

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.

360 x 942 x 975 x 646 = 213594732000

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.

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

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

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

646 : 1, 2, 17, 19, 34, 38, 323, 646

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 360,942,975,646, is 1.

Now, the common factors can be found like this.

360:2x 2x 2x 3x 3x 5

942:2x 3x 157

975:3x 5x 5x 13

646:2x 17x 19

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 = 213594732000/(1x180)

LCM = 213594732000/180

LCM = 1186637400

Thus, we can understand that the LCM of 360,942,975,646 is 1186637400.

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

• LCM of 805, 216, 966, 939
• LCM of 378, 278, 799, 361
• LCM of 264, 598, 159, 679
• LCM of 760, 879, 324, 979
• LCM of 539, 411, 215, 914

1. What is the LCM of 360, 942, 975, 646?

Answer: LCM of 360, 942, 975, 646 is 1186637400.

2. How to calculate the LCM of 360, 942, 975, 646?

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 360, 942, 975, 646.

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}.