Given numbers are 684,102,701,674,838

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

The LCM of 684,102,701,674,838 is 1150977847284.

Find LCM of 684,102,701,674,838 with Prime Factorization

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

2 x 3 x 114 x 17 x 701 x 337 x 419 = 1150977847284

Therefore, the lowest common multiple of 684,102,701,674,838 is 1150977847284.

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.

684 x 102 x 701 x 674 x 838 = 27623468334816

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.

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

102 : 1, 2, 3, 6, 17, 34, 51, 102

701 : 1, 701

674 : 1, 2, 337, 674

838 : 1, 2, 419, 838

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,102,701,674,838, is 1.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

102:2x 3x 17

701:701

674:2x 337

838:2x 419

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 3 = 24

Therefore, the value for common factors is 24.

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 = 27623468334816/(1x24)

LCM = 27623468334816/24

LCM = 1150977847284

Thus, we can understand that the LCM of 684,102,701,674,838 is 1150977847284.

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

• LCM of 436, 714, 772, 543, 459
• LCM of 758, 434, 848, 485, 433
• LCM of 387, 377, 365, 494, 941
• LCM of 585, 558, 588, 976, 717
• LCM of 817, 394, 579, 662, 420

1. What is the LCM of 684, 102, 701, 674, 838?

Answer: LCM of 684, 102, 701, 674, 838 is 1150977847284.

2. How to calculate the LCM of 684, 102, 701, 674, 838?

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 684, 102, 701, 674, 838.

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}.