Given numbers are 457,235,139,107,140

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

The LCM of 457,235,139,107,140 is 44724003380.

Find LCM of 457,235,139,107,140 with Prime Factorization

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

5 x 457 x 47 x 139 x 107 x 28 = 44724003380

Therefore, the lowest common multiple of 457,235,139,107,140 is 44724003380.

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.

457 x 235 x 139 x 107 x 140 = 223620016900

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.

457 : 1, 457

235 : 1, 5, 47, 235

139 : 1, 139

107 : 1, 107

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 457,235,139,107,140, is 1.

Now, the common factors can be found like this.

457:457

235:5x 47

139:139

107:107

140:2x 2x 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.

5 = 5

Therefore, the value for common factors is 5.

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 = 223620016900/(1x5)

LCM = 223620016900/5

LCM = 44724003380

Thus, we can understand that the LCM of 457,235,139,107,140 is 44724003380.

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

• LCM of 254, 534, 812, 640, 850
• LCM of 664, 127, 799, 838, 817
• LCM of 666, 319, 819, 778, 669
• LCM of 450, 680, 459, 662, 602
• LCM of 671, 338, 259, 871, 983

1. What is the LCM of 457, 235, 139, 107, 140?

Answer: LCM of 457, 235, 139, 107, 140 is 44724003380.

2. How to calculate the LCM of 457, 235, 139, 107, 140?

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 457, 235, 139, 107, 140.

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}.