Given numbers are 461,804,774,750

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

The LCM of 461,804,774,750 is 5976634500.

Find LCM of 461,804,774,750 with Prime Factorization

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

2 x 3 x 461 x 134 x 129 x 125 = 5976634500

Therefore, the lowest common multiple of 461,804,774,750 is 5976634500.

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.

461 x 804 x 774 x 750 = 215158842000

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.

461 : 1, 461

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,804,774,750, is 1.

Now, the common factors can be found like this.

461:461

804:2x 2x 3x 67

774:2x 3x 3x 43

750:2x 3x 5x 5x 5

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 3 = 36

Therefore, the value for common factors is 36.

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 = 215158842000/(1x36)

LCM = 215158842000/36

LCM = 5976634500

Thus, we can understand that the LCM of 461,804,774,750 is 5976634500.

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

• LCM of 437, 112, 504, 350
• LCM of 116, 215, 920, 389
• LCM of 641, 770, 634, 938
• LCM of 524, 662, 840, 110
• LCM of 417, 317, 795, 695

1. What is the LCM of 461, 804, 774, 750?

Answer: LCM of 461, 804, 774, 750 is 5976634500.

2. How to calculate the LCM of 461, 804, 774, 750?

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 461, 804, 774, 750.

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}.