Given numbers are 714,118,990,449,584

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

The LCM of 714,118,990,449,584 is 911304175320.

Find LCM of 714,118,990,449,584 with Prime Factorization

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

2 x 3 x 119 x 59 x 165 x 449 x 292 = 911304175320

Therefore, the lowest common multiple of 714,118,990,449,584 is 911304175320.

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.

714 x 118 x 990 x 449 x 584 = 21871300207680

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.

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

118 : 1, 2, 59, 118

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

449 : 1, 449

584 : 1, 2, 4, 8, 73, 146, 292, 584

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,118,990,449,584, is 1.

Now, the common factors can be found like this.

714:2x 3x 7x 17

118:2x 59

990:2x 3x 3x 5x 11

449:449

584:2x 2x 2x 73

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 3 = 24

Therefore, the value for common factors is 24.

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 = 21871300207680/(1x24)

LCM = 21871300207680/24

LCM = 911304175320

Thus, we can understand that the LCM of 714,118,990,449,584 is 911304175320.

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

• LCM of 257, 181, 430, 753, 719
• LCM of 455, 112, 349, 144, 492
• LCM of 883, 540, 347, 178, 518
• LCM of 626, 688, 926, 810, 339
• LCM of 543, 224, 697, 585, 125

1. What is the LCM of 714, 118, 990, 449, 584?

Answer: LCM of 714, 118, 990, 449, 584 is 911304175320.

2. How to calculate the LCM of 714, 118, 990, 449, 584?

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 714, 118, 990, 449, 584.

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}.