Given numbers are 546,389,756,750

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

The LCM of 546,389,756,750 is 477886500.

Find LCM of 546,389,756,750 with Prime Factorization

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

2 x 3 x 7 x 13 x 389 x 18 x 125 = 477886500

Therefore, the lowest common multiple of 546,389,756,750 is 477886500.

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.

546 x 389 x 756 x 750 = 120427398000

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.

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

389 : 1, 389

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

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 546,389,756,750, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

389:389

756:2x 2x 3x 3x 3x 7

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 3x 7 = 252

Therefore, the value for common factors is 252.

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 = 120427398000/(1x252)

LCM = 120427398000/252

LCM = 477886500

Thus, we can understand that the LCM of 546,389,756,750 is 477886500.

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

• LCM of 152, 804, 573, 296
• LCM of 415, 570, 588, 493
• LCM of 504, 975, 892, 758
• LCM of 617, 179, 399, 157
• LCM of 753, 287, 549, 186

1. What is the LCM of 546, 389, 756, 750?

Answer: LCM of 546, 389, 756, 750 is 477886500.

2. How to calculate the LCM of 546, 389, 756, 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 546, 389, 756, 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}.