Given numbers are 438,600,114,976

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

The LCM of 438,600,114,976 is 101528400.

Find LCM of 438,600,114,976 with Prime Factorization

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

2 x 2 x 2 x 3 x 73 x 25 x 19 x 122 = 101528400

Therefore, the lowest common multiple of 438,600,114,976 is 101528400.

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.

438 x 600 x 114 x 976 = 29240179200

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.

438 : 1, 2, 3, 6, 73, 146, 219, 438

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

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

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,600,114,976, is 2.

Now, the common factors can be found like this.

438:2x 3x 73

600:2x 2x 2x 3x 5x 5

114:2x 3x 19

976:2x 2x 2x 2x 61

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 29240179200/(2x144)

LCM = 29240179200/288

LCM = 101528400

Thus, we can understand that the LCM of 438,600,114,976 is 101528400.

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

• LCM of 535, 700, 389, 595
• LCM of 362, 783, 981, 673
• LCM of 250, 839, 992, 901
• LCM of 856, 280, 224, 799
• LCM of 366, 490, 947, 859

1. What is the LCM of 438, 600, 114, 976?

Answer: LCM of 438, 600, 114, 976 is 101528400.

2. How to calculate the LCM of 438, 600, 114, 976?

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 438, 600, 114, 976.

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}.