Given numbers are 492,666,975,210,439

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

The LCM of 492,666,975,210,439 is 54542369700.

Find LCM of 492,666,975,210,439 with Prime Factorization

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

2 x 3 x 5 x 82 x 111 x 65 x 7 x 439 = 54542369700

Therefore, the lowest common multiple of 492,666,975,210,439 is 54542369700.

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.

492 x 666 x 975 x 210 x 439 = 29452879638000

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.

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

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

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

439 : 1, 439

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,666,975,210,439, is 1.

Now, the common factors can be found like this.

492:2x 2x 3x 41

666:2x 3x 3x 37

975:3x 5x 5x 13

210:2x 3x 5x 7

439:439

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 3x 5 = 540

Therefore, the value for common factors is 540.

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 = 29452879638000/(1x540)

LCM = 29452879638000/540

LCM = 54542369700

Thus, we can understand that the LCM of 492,666,975,210,439 is 54542369700.

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

• LCM of 594, 276, 260, 326, 760
• LCM of 120, 761, 259, 116, 962
• LCM of 842, 291, 962, 117, 920
• LCM of 279, 131, 487, 807, 215
• LCM of 993, 573, 173, 674, 459

1. What is the LCM of 492, 666, 975, 210, 439?

Answer: LCM of 492, 666, 975, 210, 439 is 54542369700.

2. How to calculate the LCM of 492, 666, 975, 210, 439?

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 492, 666, 975, 210, 439.

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}.