Given numbers are 577,393,314,750

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

The LCM of 577,393,314,750 is 8900369250.

Find LCM of 577,393,314,750 with Prime Factorization

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

2 x 3 x 577 x 131 x 157 x 125 = 8900369250

Therefore, the lowest common multiple of 577,393,314,750 is 8900369250.

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.

577 x 393 x 314 x 750 = 53402215500

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.

577 : 1, 577

393 : 1, 3, 131, 393

314 : 1, 2, 157, 314

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 577,393,314,750, is 1.

Now, the common factors can be found like this.

577:577

393:3x 131

314:2x 157

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 3 = 6

Therefore, the value for common factors is 6.

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 = 53402215500/(1x6)

LCM = 53402215500/6

LCM = 8900369250

Thus, we can understand that the LCM of 577,393,314,750 is 8900369250.

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

• LCM of 500, 342, 638, 373
• LCM of 719, 557, 500, 333
• LCM of 388, 954, 960, 136
• LCM of 247, 591, 281, 738
• LCM of 872, 996, 905, 565

1. What is the LCM of 577, 393, 314, 750?

Answer: LCM of 577, 393, 314, 750 is 8900369250.

2. How to calculate the LCM of 577, 393, 314, 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 577, 393, 314, 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}.