Given numbers are 291,622,684,635,378

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

The LCM of 291,622,684,635,378 is 275157430380.

Find LCM of 291,622,684,635,378 with Prime Factorization

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

2 x 3 x 3 x 97 x 311 x 38 x 635 x 21 = 275157430380

Therefore, the lowest common multiple of 291,622,684,635,378 is 275157430380.

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.

291 x 622 x 684 x 635 x 378 = 29717002481040

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.

291 : 1, 3, 97, 291

622 : 1, 2, 311, 622

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

635 : 1, 5, 127, 635

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 291,622,684,635,378, is 1.

Now, the common factors can be found like this.

291:3x 97

622:2x 311

684:2x 2x 3x 3x 19

635:5x 127

378:2x 3x 3x 3x 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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 29717002481040/(1x108)

LCM = 29717002481040/108

LCM = 275157430380

Thus, we can understand that the LCM of 291,622,684,635,378 is 275157430380.

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

• LCM of 597, 628, 477, 728, 978
• LCM of 267, 231, 910, 664, 258
• LCM of 986, 770, 250, 515, 854
• LCM of 802, 456, 179, 523, 102
• LCM of 408, 988, 437, 360, 769

1. What is the LCM of 291, 622, 684, 635, 378?

Answer: LCM of 291, 622, 684, 635, 378 is 275157430380.

2. How to calculate the LCM of 291, 622, 684, 635, 378?

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 291, 622, 684, 635, 378.

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}.