Given numbers are 904,269,414,194,970

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

The LCM of 904,269,414,194,970 is 24413654520.

Find LCM of 904,269,414,194,970 with Prime Factorization

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

2 x 97 x 452 x 269 x 207 x 1 x 5 = 24413654520

Therefore, the lowest common multiple of 904,269,414,194,970 is 24413654520.

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.

904 x 269 x 414 x 194 x 970 = 18944995907520

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.

904 : 1, 2, 4, 8, 113, 226, 452, 904

269 : 1, 269

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

194 : 1, 2, 97, 194

970 : 1, 2, 5, 10, 97, 194, 485, 970

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,269,414,194,970, is 1.

Now, the common factors can be found like this.

904:2x 2x 2x 113

269:269

414:2x 3x 3x 23

194:2x 97

970:2x 5x 97

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 97 = 776

Therefore, the value for common factors is 776.

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 = 18944995907520/(1x776)

LCM = 18944995907520/776

LCM = 24413654520

Thus, we can understand that the LCM of 904,269,414,194,970 is 24413654520.

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

• LCM of 298, 423, 235, 495, 754
• LCM of 148, 655, 392, 151, 874
• LCM of 696, 672, 227, 801, 424
• LCM of 456, 746, 493, 324, 150
• LCM of 440, 977, 271, 379, 482

1. What is the LCM of 904, 269, 414, 194, 970?

Answer: LCM of 904, 269, 414, 194, 970 is 24413654520.

2. How to calculate the LCM of 904, 269, 414, 194, 970?

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 904, 269, 414, 194, 970.

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}.