Given numbers are 546,524,747,717,759

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

The LCM of 546,524,747,717,759 is 2153831395716.

Find LCM of 546,524,747,717,759 with Prime Factorization

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

2 x 3 x 91 x 262 x 249 x 239 x 253 = 2153831395716

Therefore, the lowest common multiple of 546,524,747,717,759 is 2153831395716.

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.

546 x 524 x 747 x 717 x 759 = 116306895368664

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.

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

524 : 1, 2, 4, 131, 262, 524

747 : 1, 3, 9, 83, 249, 747

717 : 1, 3, 239, 717

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 546,524,747,717,759, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

524:2x 2x 131

747:3x 3x 83

717:3x 239

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 3x 3x 3 = 54

Therefore, the value for common factors is 54.

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 = 116306895368664/(1x54)

LCM = 116306895368664/54

LCM = 2153831395716

Thus, we can understand that the LCM of 546,524,747,717,759 is 2153831395716.

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

• LCM of 749, 612, 802, 960, 371
• LCM of 457, 401, 336, 780, 186
• LCM of 732, 861, 590, 511, 300
• LCM of 238, 218, 866, 123, 747
• LCM of 168, 405, 913, 926, 813

1. What is the LCM of 546, 524, 747, 717, 759?

Answer: LCM of 546, 524, 747, 717, 759 is 2153831395716.

2. How to calculate the LCM of 546, 524, 747, 717, 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 546, 524, 747, 717, 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}.