Given numbers are 543,442,314,759

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

The LCM of 543,442,314,759 is 9533278326.

Find LCM of 543,442,314,759 with Prime Factorization

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

2 x 3 x 181 x 221 x 157 x 253 = 9533278326

Therefore, the lowest common multiple of 543,442,314,759 is 9533278326.

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 442 x 314 x 759 = 57199669956

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

442 : 1, 2, 13, 17, 26, 34, 221, 442

314 : 1, 2, 157, 314

759 : 1, 3, 11, 23, 33, 69, 253, 759

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,442,314,759, is 1.

Now, the common factors can be found like this.

543:3x 181

442:2x 13x 17

314:2x 157

759:3x 11x 23

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 57199669956/(1x6)

LCM = 57199669956/6

LCM = 9533278326

Thus, we can understand that the LCM of 543,442,314,759 is 9533278326.

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

• LCM of 662, 962, 301, 162
• LCM of 322, 753, 180, 415
• LCM of 422, 642, 279, 304
• LCM of 104, 615, 542, 684
• LCM of 529, 810, 824, 416

1. What is the LCM of 543, 442, 314, 759?

Answer: LCM of 543, 442, 314, 759 is 9533278326.

2. How to calculate the LCM of 543, 442, 314, 759?

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, 442, 314, 759.

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}.