Given numbers are 814,746,690,306

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

The LCM of 814,746,690,306 is 5342229090.

Find LCM of 814,746,690,306 with Prime Factorization

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

2 x 3 x 407 x 373 x 115 x 51 = 5342229090

Therefore, the lowest common multiple of 814,746,690,306 is 5342229090.

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.

814 x 746 x 690 x 306 = 128213498160

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

746 : 1, 2, 373, 746

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,746,690,306, is 2.

Now, the common factors can be found like this.

814:2x 11x 37

746:2x 373

690:2x 3x 5x 23

306:2x 3x 3x 17

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 3 = 12

Therefore, the value for common factors is 12.

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 = 128213498160/(2x12)

LCM = 128213498160/24

LCM = 5342229090

Thus, we can understand that the LCM of 814,746,690,306 is 5342229090.

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

• LCM of 441, 322, 595, 801
• LCM of 100, 979, 399, 889
• LCM of 676, 436, 728, 727
• LCM of 675, 281, 327, 995
• LCM of 682, 989, 225, 903

1. What is the LCM of 814, 746, 690, 306?

Answer: LCM of 814, 746, 690, 306 is 5342229090.

2. How to calculate the LCM of 814, 746, 690, 306?

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 814, 746, 690, 306.

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}.