Given numbers are 457,740,731,626,914

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

The LCM of 457,740,731,626,914 is 77376598540.

Find LCM of 457,740,731,626,914 with Prime Factorization

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

2 x 457 x 1 x 370 x 731 x 313 x 1 = 77376598540

Therefore, the lowest common multiple of 457,740,731,626,914 is 77376598540.

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 740 x 731 x 626 x 914 = 141444422131120

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

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

731 : 1, 17, 43, 731

626 : 1, 2, 313, 626

914 : 1, 2, 457, 914

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 457,740,731,626,914, is 1.

Now, the common factors can be found like this.

457:457

740:2x 2x 5x 37

731:17x 43

626:2x 313

914:2x 457

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 457 = 1828

Therefore, the value for common factors is 1828.

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 = 141444422131120/(1x1828)

LCM = 141444422131120/1828

LCM = 77376598540

Thus, we can understand that the LCM of 457,740,731,626,914 is 77376598540.

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

• LCM of 973, 534, 654, 937, 706
• LCM of 207, 650, 469, 408, 748
• LCM of 756, 926, 644, 340, 808
• LCM of 576, 745, 498, 193, 665
• LCM of 881, 385, 936, 482, 342

1. What is the LCM of 457, 740, 731, 626, 914?

Answer: LCM of 457, 740, 731, 626, 914 is 77376598540.

2. How to calculate the LCM of 457, 740, 731, 626, 914?

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, 740, 731, 626, 914.

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}.