Given numbers are 575,319,551,380

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

The LCM of 575,319,551,380 is 13940300.

Find LCM of 575,319,551,380 with Prime Factorization

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

5 x 19 x 29 x 115 x 11 x 1 x 4 = 13940300

Therefore, the lowest common multiple of 575,319,551,380 is 13940300.

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.

575 x 319 x 551 x 380 = 38405526500

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.

575 : 1, 5, 23, 25, 115, 575

319 : 1, 11, 29, 319

551 : 1, 19, 29, 551

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 575,319,551,380, is 1.

Now, the common factors can be found like this.

575:5x 5x 23

319:11x 29

551:19x 29

380:2x 2x 5x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5x 19x 29 = 2755

Therefore, the value for common factors is 2755.

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 = 38405526500/(1x2755)

LCM = 38405526500/2755

LCM = 13940300

Thus, we can understand that the LCM of 575,319,551,380 is 13940300.

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

• LCM of 868, 834, 932, 308
• LCM of 772, 857, 757, 199
• LCM of 346, 338, 710, 679
• LCM of 724, 345, 345, 401
• LCM of 964, 752, 468, 175

1. What is the LCM of 575, 319, 551, 380?

Answer: LCM of 575, 319, 551, 380 is 13940300.

2. How to calculate the LCM of 575, 319, 551, 380?

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 575, 319, 551, 380.

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}.