Given numbers are 107,728,678,838,527

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

The LCM of 107,728,678,838,527 is 5830952362872.

Find LCM of 107,728,678,838,527 with Prime Factorization

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

2 x 107 x 364 x 339 x 419 x 527 = 5830952362872

Therefore, the lowest common multiple of 107,728,678,838,527 is 5830952362872.

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.

107 x 728 x 678 x 838 x 527 = 23323809451488

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.

107 : 1, 107

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

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

838 : 1, 2, 419, 838

527 : 1, 17, 31, 527

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,728,678,838,527, is 1.

Now, the common factors can be found like this.

107:107

728:2x 2x 2x 7x 13

678:2x 3x 113

838:2x 419

527:17x 31

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 23323809451488/(1x4)

LCM = 23323809451488/4

LCM = 5830952362872

Thus, we can understand that the LCM of 107,728,678,838,527 is 5830952362872.

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

• LCM of 763, 876, 211, 495, 267
• LCM of 397, 655, 917, 995, 998
• LCM of 946, 144, 319, 440, 844
• LCM of 558, 616, 754, 743, 521
• LCM of 758, 678, 705, 118, 448

1. What is the LCM of 107, 728, 678, 838, 527?

Answer: LCM of 107, 728, 678, 838, 527 is 5830952362872.

2. How to calculate the LCM of 107, 728, 678, 838, 527?

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 107, 728, 678, 838, 527.

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}.