Given numbers are 378,746,123,291

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

The LCM of 378,746,123,291 is 560733138.

Find LCM of 378,746,123,291 with Prime Factorization

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

2 x 3 x 63 x 373 x 41 x 97 = 560733138

Therefore, the lowest common multiple of 378,746,123,291 is 560733138.

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.

378 x 746 x 123 x 291 = 10093196484

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.

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

746 : 1, 2, 373, 746

123 : 1, 3, 41, 123

291 : 1, 3, 97, 291

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,746,123,291, is 1.

Now, the common factors can be found like this.

378:2x 3x 3x 3x 7

746:2x 373

123:3x 41

291:3x 97

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 10093196484/(1x18)

LCM = 10093196484/18

LCM = 560733138

Thus, we can understand that the LCM of 378,746,123,291 is 560733138.

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

• LCM of 570, 422, 117, 636
• LCM of 138, 217, 789, 450
• LCM of 360, 457, 396, 759
• LCM of 561, 345, 406, 786
• LCM of 534, 560, 870, 935

1. What is the LCM of 378, 746, 123, 291?

Answer: LCM of 378, 746, 123, 291 is 560733138.

2. How to calculate the LCM of 378, 746, 123, 291?

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 378, 746, 123, 291.

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}.