Given numbers are 368,225,473,516,760

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

The LCM of 368,225,473,516,760 is 744123600.

Find LCM of 368,225,473,516,760 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 43 x 46 x 15 x 11 x 1 x 19 = 744123600

Therefore, the lowest common multiple of 368,225,473,516,760 is 744123600.

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.

368 x 225 x 473 x 516 x 760 = 15358711104000

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.

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

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

473 : 1, 11, 43, 473

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,225,473,516,760, is 1.

Now, the common factors can be found like this.

368:2x 2x 2x 2x 23

225:3x 3x 5x 5

473:11x 43

516:2x 2x 3x 43

760:2x 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.

2x 2x 2x 2x 2x 3x 5x 43 = 20640

Therefore, the value for common factors is 20640.

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 = 15358711104000/(1x20640)

LCM = 15358711104000/20640

LCM = 744123600

Thus, we can understand that the LCM of 368,225,473,516,760 is 744123600.

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

• LCM of 590, 389, 101, 219, 404
• LCM of 825, 902, 266, 213, 613
• LCM of 543, 910, 314, 575, 605
• LCM of 942, 107, 722, 697, 832
• LCM of 419, 997, 733, 778, 971

1. What is the LCM of 368, 225, 473, 516, 760?

Answer: LCM of 368, 225, 473, 516, 760 is 744123600.

2. How to calculate the LCM of 368, 225, 473, 516, 760?

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 368, 225, 473, 516, 760.

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}.