Given numbers are 509,975,142,446

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

The LCM of 509,975,142,446 is 15715044150.

Find LCM of 509,975,142,446 with Prime Factorization

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

2 x 509 x 975 x 71 x 223 = 15715044150

Therefore, the lowest common multiple of 509,975,142,446 is 15715044150.

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.

509 x 975 x 142 x 446 = 31430088300

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.

509 : 1, 509

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

142 : 1, 2, 71, 142

446 : 1, 2, 223, 446

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,975,142,446, is 1.

Now, the common factors can be found like this.

509:509

975:3x 5x 5x 13

142:2x 71

446:2x 223

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 31430088300/(1x2)

LCM = 31430088300/2

LCM = 15715044150

Thus, we can understand that the LCM of 509,975,142,446 is 15715044150.

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

• LCM of 562, 711, 870, 889
• LCM of 115, 136, 338, 690
• LCM of 321, 404, 915, 613
• LCM of 639, 523, 801, 882
• LCM of 974, 678, 263, 258

1. What is the LCM of 509, 975, 142, 446?

Answer: LCM of 509, 975, 142, 446 is 15715044150.

2. How to calculate the LCM of 509, 975, 142, 446?

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 509, 975, 142, 446.

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}.