Given numbers are 760,380,952,474,284

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

The LCM of 760,380,952,474,284 is 1521833880.

Find LCM of 760,380,952,474,284 with Prime Factorization

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

2 x 2 x 2 x 5 x 19 x 1 x 1 x 119 x 237 x 71 = 1521833880

Therefore, the lowest common multiple of 760,380,952,474,284 is 1521833880.

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.

760 x 380 x 952 x 474 x 284 = 37010999961600

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.

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

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

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

474 : 1, 2, 3, 6, 79, 158, 237, 474

284 : 1, 2, 4, 71, 142, 284

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,380,952,474,284, is 2.

Now, the common factors can be found like this.

760:2x 2x 2x 5x 19

380:2x 2x 5x 19

952:2x 2x 2x 7x 17

474:2x 3x 79

284:2x 2x 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 2x 2x 2x 2x 2x 5x 19 = 12160

Therefore, the value for common factors is 12160.

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 = 37010999961600/(2x12160)

LCM = 37010999961600/24320

LCM = 1521833880

Thus, we can understand that the LCM of 760,380,952,474,284 is 1521833880.

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

• LCM of 697, 901, 356, 789, 963
• LCM of 542, 167, 366, 546, 997
• LCM of 566, 916, 711, 514, 191
• LCM of 370, 700, 485, 772, 469
• LCM of 237, 331, 862, 229, 535

1. What is the LCM of 760, 380, 952, 474, 284?

Answer: LCM of 760, 380, 952, 474, 284 is 1521833880.

2. How to calculate the LCM of 760, 380, 952, 474, 284?

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 760, 380, 952, 474, 284.

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}.