Given numbers are 210,504,434,490,546

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

The LCM of 210,504,434,490,546 is 7108920.

Find LCM of 210,504,434,490,546 with Prime Factorization

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

2 x 3 x 5 x 7 x 1 x 12 x 31 x 7 x 13 = 7108920

Therefore, the lowest common multiple of 210,504,434,490,546 is 7108920.

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.

210 x 504 x 434 x 490 x 546 = 12289332182400

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.

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

434 : 1, 2, 7, 14, 31, 62, 217, 434

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

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

14 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,504,434,490,546, is 14.

Now, the common factors can be found like this.

210:2x 3x 5x 7

504:2x 2x 2x 3x 3x 7

434:2x 7x 31

490:2x 5x 7x 7

546:2x 3x 7x 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 2x 2x 3x 3x 5x 7x 7x 7 = 123480

Therefore, the value for common factors is 123480.

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 = 12289332182400/(14x123480)

LCM = 12289332182400/1728720

LCM = 7108920

Thus, we can understand that the LCM of 210,504,434,490,546 is 7108920.

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

• LCM of 448, 142, 719, 564, 441
• LCM of 285, 872, 882, 744, 986
• LCM of 684, 928, 882, 493, 736
• LCM of 126, 562, 972, 746, 761
• LCM of 259, 778, 287, 745, 872

1. What is the LCM of 210, 504, 434, 490, 546?

Answer: LCM of 210, 504, 434, 490, 546 is 7108920.

2. How to calculate the LCM of 210, 504, 434, 490, 546?

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 210, 504, 434, 490, 546.

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}.