Given numbers are 369,750,762,993,852

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

The LCM of 369,750,762,993,852 is 550663681500.

Find LCM of 369,750,762,993,852 with Prime Factorization

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

2 x 3 x 123 x 125 x 127 x 331 x 142 = 550663681500

Therefore, the lowest common multiple of 369,750,762,993,852 is 550663681500.

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.

369 x 750 x 762 x 993 x 852 = 178415032806000

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.

369 : 1, 3, 9, 41, 123, 369

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

762 : 1, 2, 3, 6, 127, 254, 381, 762

993 : 1, 3, 331, 993

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,750,762,993,852, is 3.

Now, the common factors can be found like this.

369:3x 3x 41

750:2x 3x 5x 5x 5

762:2x 3x 127

993:3x 331

852:2x 2x 3x 71

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 178415032806000/(3x108)

LCM = 178415032806000/324

LCM = 550663681500

Thus, we can understand that the LCM of 369,750,762,993,852 is 550663681500.

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

• LCM of 992, 423, 551, 977, 558
• LCM of 188, 825, 287, 876, 465
• LCM of 759, 695, 390, 261, 726
• LCM of 916, 724, 835, 340, 281
• LCM of 954, 775, 315, 674, 880

1. What is the LCM of 369, 750, 762, 993, 852?

Answer: LCM of 369, 750, 762, 993, 852 is 550663681500.

2. How to calculate the LCM of 369, 750, 762, 993, 852?

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 369, 750, 762, 993, 852.

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}.