Given numbers are 438,804,846,812,420

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

The LCM of 438,804,846,812,420 is 8399705580.

Find LCM of 438,804,846,812,420 with Prime Factorization

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

2 x 2 x 3 x 7 x 73 x 67 x 141 x 29 x 5 = 8399705580

Therefore, the lowest common multiple of 438,804,846,812,420 is 8399705580.

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 804 x 846 x 812 x 420 = 101602838695680

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

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,804,846,812,420, is 2.

Now, the common factors can be found like this.

438:2x 3x 73

804:2x 2x 3x 67

846:2x 3x 3x 47

812:2x 2x 7x 29

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 2x 2x 3x 3x 3x 7 = 6048

Therefore, the value for common factors is 6048.

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 = 101602838695680/(2x6048)

LCM = 101602838695680/12096

LCM = 8399705580

Thus, we can understand that the LCM of 438,804,846,812,420 is 8399705580.

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

• LCM of 701, 983, 986, 716, 929
• LCM of 203, 881, 450, 426, 468
• LCM of 255, 493, 577, 276, 843
• LCM of 914, 833, 952, 825, 628
• LCM of 200, 592, 875, 594, 962

1. What is the LCM of 438, 804, 846, 812, 420?

Answer: LCM of 438, 804, 846, 812, 420 is 8399705580.

2. How to calculate the LCM of 438, 804, 846, 812, 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, 804, 846, 812, 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}.