Given numbers are 490,402,780,414,174

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

The LCM of 490,402,780,414,174 is 5124040740.

Find LCM of 490,402,780,414,174 with Prime Factorization

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

2 x 3 x 5 x 49 x 67 x 26 x 69 x 29 = 5124040740

Therefore, the lowest common multiple of 490,402,780,414,174 is 5124040740.

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.

490 x 402 x 780 x 414 x 174 = 11067927998400

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.

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

402 : 1, 2, 3, 6, 67, 134, 201, 402

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

174 : 1, 2, 3, 6, 29, 58, 87, 174

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,402,780,414,174, is 2.

Now, the common factors can be found like this.

490:2x 5x 7x 7

402:2x 3x 67

780:2x 2x 3x 5x 13

414:2x 3x 3x 23

174:2x 3x 29

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 3x 5 = 1080

Therefore, the value for common factors is 1080.

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 = 11067927998400/(2x1080)

LCM = 11067927998400/2160

LCM = 5124040740

Thus, we can understand that the LCM of 490,402,780,414,174 is 5124040740.

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

• LCM of 979, 788, 793, 418, 854
• LCM of 522, 142, 422, 174, 504
• LCM of 604, 282, 762, 499, 461
• LCM of 748, 693, 148, 876, 993
• LCM of 303, 572, 233, 566, 504

1. What is the LCM of 490, 402, 780, 414, 174?

Answer: LCM of 490, 402, 780, 414, 174 is 5124040740.

2. How to calculate the LCM of 490, 402, 780, 414, 174?

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 490, 402, 780, 414, 174.

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}.