Given numbers are 740,724,193,548,678

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

The LCM of 740,724,193,548,678 is 1200571056060.

Find LCM of 740,724,193,548,678 with Prime Factorization

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

2 x 2 x 185 x 181 x 193 x 137 x 339 = 1200571056060

Therefore, the lowest common multiple of 740,724,193,548,678 is 1200571056060.

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.

740 x 724 x 193 x 548 x 678 = 38418273793920

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.

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

724 : 1, 2, 4, 181, 362, 724

193 : 1, 193

548 : 1, 2, 4, 137, 274, 548

678 : 1, 2, 3, 6, 113, 226, 339, 678

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,724,193,548,678, is 1.

Now, the common factors can be found like this.

740:2x 2x 5x 37

724:2x 2x 181

193:193

548:2x 2x 137

678:2x 3x 113

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 2 = 32

Therefore, the value for common factors is 32.

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 = 38418273793920/(1x32)

LCM = 38418273793920/32

LCM = 1200571056060

Thus, we can understand that the LCM of 740,724,193,548,678 is 1200571056060.

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

• LCM of 258, 866, 333, 736, 420
• LCM of 399, 691, 903, 449, 749
• LCM of 664, 469, 183, 131, 443
• LCM of 518, 307, 619, 364, 565
• LCM of 958, 405, 297, 556, 720

1. What is the LCM of 740, 724, 193, 548, 678?

Answer: LCM of 740, 724, 193, 548, 678 is 1200571056060.

2. How to calculate the LCM of 740, 724, 193, 548, 678?

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 740, 724, 193, 548, 678.

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}.