Given numbers are 554,720,690,114

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

The LCM of 554,720,690,114 is 87155280.

Find LCM of 554,720,690,114 with Prime Factorization

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

2 x 3 x 5 x 277 x 24 x 23 x 19 = 87155280

Therefore, the lowest common multiple of 554,720,690,114 is 87155280.

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.

554 x 720 x 690 x 114 = 31375900800

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.

554 : 1, 2, 277, 554

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

114 : 1, 2, 3, 6, 19, 38, 57, 114

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 554,720,690,114, is 2.

Now, the common factors can be found like this.

554:2x 277

720:2x 2x 2x 2x 3x 3x 5

690:2x 3x 5x 23

114:2x 3x 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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 31375900800/(2x180)

LCM = 31375900800/360

LCM = 87155280

Thus, we can understand that the LCM of 554,720,690,114 is 87155280.

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

• LCM of 794, 514, 178, 140
• LCM of 457, 752, 791, 222
• LCM of 245, 434, 925, 644
• LCM of 397, 344, 510, 809
• LCM of 808, 173, 363, 697

1. What is the LCM of 554, 720, 690, 114?

Answer: LCM of 554, 720, 690, 114 is 87155280.

2. How to calculate the LCM of 554, 720, 690, 114?

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 554, 720, 690, 114.

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}.