Given numbers are 760,633,171,269

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

The LCM of 760,633,171,269 is 388231560.

Find LCM of 760,633,171,269 with Prime Factorization

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

3 x 19 x 40 x 211 x 3 x 269 = 388231560

Therefore, the lowest common multiple of 760,633,171,269 is 388231560.

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 633 x 171 x 269 = 22129198920

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

633 : 1, 3, 211, 633

171 : 1, 3, 9, 19, 57, 171

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,633,171,269, is 1.

Now, the common factors can be found like this.

760:2x 2x 2x 5x 19

633:3x 211

171:3x 3x 19

269:269

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

3x 19 = 57

Therefore, the value for common factors is 57.

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 = 22129198920/(1x57)

LCM = 22129198920/57

LCM = 388231560

Thus, we can understand that the LCM of 760,633,171,269 is 388231560.

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

• LCM of 943, 702, 655, 409
• LCM of 339, 139, 445, 193
• LCM of 465, 895, 700, 129
• LCM of 433, 597, 389, 832
• LCM of 141, 804, 904, 500

1. What is the LCM of 760, 633, 171, 269?

Answer: LCM of 760, 633, 171, 269 is 388231560.

2. How to calculate the LCM of 760, 633, 171, 269?

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, 633, 171, 269.

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}.