Given numbers are 448,406,596,121,740

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

The LCM of 448,406,596,121,740 is 43333062080.

Find LCM of 448,406,596,121,740 with Prime Factorization

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

2 x 2 x 7 x 16 x 29 x 149 x 121 x 185 = 43333062080

Therefore, the lowest common multiple of 448,406,596,121,740 is 43333062080.

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.

448 x 406 x 596 x 121 x 740 = 9706605905920

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.

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

406 : 1, 2, 7, 14, 29, 58, 203, 406

596 : 1, 2, 4, 149, 298, 596

121 : 1, 11, 121

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,406,596,121,740, is 1.

Now, the common factors can be found like this.

448:2x 2x 2x 2x 2x 2x 7

406:2x 7x 29

596:2x 2x 149

121:11x 11

740:2x 2x 5x 37

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 7 = 224

Therefore, the value for common factors is 224.

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 = 9706605905920/(1x224)

LCM = 9706605905920/224

LCM = 43333062080

Thus, we can understand that the LCM of 448,406,596,121,740 is 43333062080.

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

• LCM of 661, 740, 137, 624, 888
• LCM of 920, 441, 869, 473, 144
• LCM of 966, 224, 640, 734, 422
• LCM of 147, 107, 230, 597, 590
• LCM of 882, 339, 966, 712, 203

1. What is the LCM of 448, 406, 596, 121, 740?

Answer: LCM of 448, 406, 596, 121, 740 is 43333062080.

2. How to calculate the LCM of 448, 406, 596, 121, 740?

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 448, 406, 596, 121, 740.

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}.