Given numbers are 545,903,691,714,468

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

The LCM of 545,903,691,714,468 is 901853135820.

Find LCM of 545,903,691,714,468 with Prime Factorization

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

2 x 3 x 7 x 545 x 43 x 691 x 17 x 78 = 901853135820

Therefore, the lowest common multiple of 545,903,691,714,468 is 901853135820.

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.

545 x 903 x 691 x 714 x 468 = 113633495113320

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.

545 : 1, 5, 109, 545

903 : 1, 3, 7, 21, 43, 129, 301, 903

691 : 1, 691

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 545,903,691,714,468, is 1.

Now, the common factors can be found like this.

545:5x 109

903:3x 7x 43

691:691

714:2x 3x 7x 17

468:2x 2x 3x 3x 13

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 7 = 126

Therefore, the value for common factors is 126.

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 = 113633495113320/(1x126)

LCM = 113633495113320/126

LCM = 901853135820

Thus, we can understand that the LCM of 545,903,691,714,468 is 901853135820.

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

• LCM of 715, 490, 301, 540, 743
• LCM of 406, 105, 811, 177, 935
• LCM of 475, 807, 227, 263, 139
• LCM of 291, 994, 649, 594, 559
• LCM of 657, 930, 300, 824, 273

1. What is the LCM of 545, 903, 691, 714, 468?

Answer: LCM of 545, 903, 691, 714, 468 is 901853135820.

2. How to calculate the LCM of 545, 903, 691, 714, 468?

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 545, 903, 691, 714, 468.

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}.