Given numbers are 546,594,979,690

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

The LCM of 546,594,979,690 is 553242690.

Find LCM of 546,594,979,690 with Prime Factorization

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

2 x 3 x 11 x 91 x 9 x 89 x 115 = 553242690

Therefore, the lowest common multiple of 546,594,979,690 is 553242690.

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 594 x 979 x 690 = 219084105240

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

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

979 : 1, 11, 89, 979

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,594,979,690, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

594:2x 3x 3x 3x 11

979:11x 89

690:2x 3x 5x 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 2x 3x 3x 11 = 396

Therefore, the value for common factors is 396.

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 = 219084105240/(1x396)

LCM = 219084105240/396

LCM = 553242690

Thus, we can understand that the LCM of 546,594,979,690 is 553242690.

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

• LCM of 591, 254, 756, 435
• LCM of 305, 252, 674, 336
• LCM of 590, 173, 799, 211
• LCM of 334, 482, 601, 598
• LCM of 903, 669, 806, 540

1. What is the LCM of 546, 594, 979, 690?

Answer: LCM of 546, 594, 979, 690 is 553242690.

2. How to calculate the LCM of 546, 594, 979, 690?

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, 594, 979, 690.

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}.