Given numbers are 113,462,924,378,469

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

The LCM of 113,462,924,378,469 is 62960436.

Find LCM of 113,462,924,378,469 with Prime Factorization

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

2 x 3 x 7 x 11 x 113 x 1 x 2 x 9 x 67 = 62960436

Therefore, the lowest common multiple of 113,462,924,378,469 is 62960436.

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.

113 x 462 x 924 x 378 x 469 = 8551790101008

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.

113 : 1, 113

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

469 : 1, 7, 67, 469

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 113,462,924,378,469, is 1.

Now, the common factors can be found like this.

113:113

462:2x 3x 7x 11

924:2x 2x 3x 7x 11

378:2x 3x 3x 3x 7

469:7x 67

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 7x 7x 7x 11 = 135828

Therefore, the value for common factors is 135828.

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 = 8551790101008/(1x135828)

LCM = 8551790101008/135828

LCM = 62960436

Thus, we can understand that the LCM of 113,462,924,378,469 is 62960436.

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

• LCM of 280, 868, 413, 560, 662
• LCM of 812, 767, 511, 649, 100
• LCM of 682, 853, 554, 555, 926
• LCM of 143, 814, 437, 964, 182
• LCM of 296, 628, 296, 481, 781

1. What is the LCM of 113, 462, 924, 378, 469?

Answer: LCM of 113, 462, 924, 378, 469 is 62960436.

2. How to calculate the LCM of 113, 462, 924, 378, 469?

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 113, 462, 924, 378, 469.

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}.