Given numbers are 543,506,409,407

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

The LCM of 543,506,409,407 is 4157912814.

Find LCM of 543,506,409,407 with Prime Factorization

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

11 x 543 x 46 x 409 x 37 = 4157912814

Therefore, the lowest common multiple of 543,506,409,407 is 4157912814.

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.

543 x 506 x 409 x 407 = 45737040954

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.

543 : 1, 3, 181, 543

506 : 1, 2, 11, 22, 23, 46, 253, 506

409 : 1, 409

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,506,409,407, is 1.

Now, the common factors can be found like this.

543:3x 181

506:2x 11x 23

409:409

407:11x 37

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

11 = 11

Therefore, the value for common factors is 11.

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 = 45737040954/(1x11)

LCM = 45737040954/11

LCM = 4157912814

Thus, we can understand that the LCM of 543,506,409,407 is 4157912814.

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

• LCM of 929, 741, 635, 863
• LCM of 428, 552, 740, 721
• LCM of 484, 845, 803, 988
• LCM of 706, 462, 467, 178
• LCM of 148, 440, 174, 847

1. What is the LCM of 543, 506, 409, 407?

Answer: LCM of 543, 506, 409, 407 is 4157912814.

2. How to calculate the LCM of 543, 506, 409, 407?

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 543, 506, 409, 407.

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}.