Given numbers are 740,682,440,987,990

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

The LCM of 740,682,440,987,990 is 1494357480.

Find LCM of 740,682,440,987,990 with Prime Factorization

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

2 x 2 x 3 x 5 x 11 x 37 x 31 x 2 x 329 x 3 = 1494357480

Therefore, the lowest common multiple of 740,682,440,987,990 is 1494357480.

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.

740 x 682 x 440 x 987 x 990 = 216980706096000

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.

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

682 : 1, 2, 11, 22, 31, 62, 341, 682

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

987 : 1, 3, 7, 21, 47, 141, 329, 987

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,682,440,987,990, is 1.

Now, the common factors can be found like this.

740:2x 2x 5x 37

682:2x 11x 31

440:2x 2x 2x 5x 11

987:3x 7x 47

990:2x 3x 3x 5x 11

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 2x 3x 5x 5x 11x 11 = 145200

Therefore, the value for common factors is 145200.

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 = 216980706096000/(1x145200)

LCM = 216980706096000/145200

LCM = 1494357480

Thus, we can understand that the LCM of 740,682,440,987,990 is 1494357480.

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

• LCM of 457, 866, 776, 381, 284
• LCM of 235, 876, 837, 695, 641
• LCM of 654, 958, 119, 382, 854
• LCM of 101, 226, 752, 385, 869
• LCM of 502, 521, 488, 521, 587

1. What is the LCM of 740, 682, 440, 987, 990?

Answer: LCM of 740, 682, 440, 987, 990 is 1494357480.

2. How to calculate the LCM of 740, 682, 440, 987, 990?

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 740, 682, 440, 987, 990.

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}.