Given numbers are 760,135,225,935,624

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

The LCM of 760,135,225,935,624 is 498841200.

Find LCM of 760,135,225,935,624 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 5 x 19 x 3 x 5 x 187 x 26 = 498841200

Therefore, the lowest common multiple of 760,135,225,935,624 is 498841200.

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 135 x 225 x 935 x 624 = 13468712400000

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

135 : 1, 3, 5, 9, 15, 27, 45, 135

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

935 : 1, 5, 11, 17, 55, 85, 187, 935

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,135,225,935,624, is 1.

Now, the common factors can be found like this.

760:2x 2x 2x 5x 19

135:3x 3x 3x 5

225:3x 3x 5x 5

935:5x 11x 17

624:2x 2x 2x 2x 3x 13

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 3x 3x 3x 5x 5x 5 = 27000

Therefore, the value for common factors is 27000.

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 = 13468712400000/(1x27000)

LCM = 13468712400000/27000

LCM = 498841200

Thus, we can understand that the LCM of 760,135,225,935,624 is 498841200.

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

• LCM of 320, 602, 433, 466, 131
• LCM of 306, 519, 816, 339, 258
• LCM of 242, 994, 567, 575, 383
• LCM of 725, 233, 554, 860, 281
• LCM of 556, 573, 669, 799, 995

1. What is the LCM of 760, 135, 225, 935, 624?

Answer: LCM of 760, 135, 225, 935, 624 is 498841200.

2. How to calculate the LCM of 760, 135, 225, 935, 624?

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, 135, 225, 935, 624.

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}.