Given numbers are 690,619,305,987,624

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

The LCM of 690,619,305,987,624 is 891453741360.

Find LCM of 690,619,305,987,624 with Prime Factorization

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

2 x 3 x 5 x 23 x 619 x 61 x 329 x 104 = 891453741360

Therefore, the lowest common multiple of 690,619,305,987,624 is 891453741360.

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.

690 x 619 x 305 x 987 x 624 = 80230836722400

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.

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

619 : 1, 619

305 : 1, 5, 61, 305

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

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,619,305,987,624, is 1.

Now, the common factors can be found like this.

690:2x 3x 5x 23

619:619

305:5x 61

987:3x 7x 47

624:2x 2x 2x 2x 3x 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 3x 3x 5 = 90

Therefore, the value for common factors is 90.

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 = 80230836722400/(1x90)

LCM = 80230836722400/90

LCM = 891453741360

Thus, we can understand that the LCM of 690,619,305,987,624 is 891453741360.

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

• LCM of 138, 745, 728, 905, 719
• LCM of 988, 399, 200, 100, 566
• LCM of 954, 169, 183, 454, 343
• LCM of 892, 169, 300, 279, 640
• LCM of 969, 751, 500, 579, 779

1. What is the LCM of 690, 619, 305, 987, 624?

Answer: LCM of 690, 619, 305, 987, 624 is 891453741360.

2. How to calculate the LCM of 690, 619, 305, 987, 624?

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 690, 619, 305, 987, 624.

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}.