Given numbers are 438,871,468,129,420

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

The LCM of 438,871,468,129,420 is 3444926940.

Find LCM of 438,871,468,129,420 with Prime Factorization

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

2 x 2 x 3 x 13 x 73 x 67 x 3 x 43 x 35 = 3444926940

Therefore, the lowest common multiple of 438,871,468,129,420 is 3444926940.

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 871 x 468 x 129 x 420 = 9673354847520

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

871 : 1, 13, 67, 871

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

129 : 1, 3, 43, 129

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,871,468,129,420, is 1.

Now, the common factors can be found like this.

438:2x 3x 73

871:13x 67

468:2x 2x 3x 3x 13

129:3x 43

420:2x 2x 3x 5x 7

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 13 = 2808

Therefore, the value for common factors is 2808.

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 = 9673354847520/(1x2808)

LCM = 9673354847520/2808

LCM = 3444926940

Thus, we can understand that the LCM of 438,871,468,129,420 is 3444926940.

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

• LCM of 114, 198, 287, 604, 903
• LCM of 284, 431, 594, 385, 882
• LCM of 411, 173, 345, 441, 836
• LCM of 581, 627, 667, 703, 291
• LCM of 995, 262, 189, 375, 988

1. What is the LCM of 438, 871, 468, 129, 420?

Answer: LCM of 438, 871, 468, 129, 420 is 3444926940.

2. How to calculate the LCM of 438, 871, 468, 129, 420?

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, 871, 468, 129, 420.

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}.