Given numbers are 674,858,984,149,684

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

The LCM of 674,858,984,149,684 is 402737584392.

Find LCM of 674,858,984,149,684 with Prime Factorization

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

2 x 2 x 3 x 337 x 143 x 82 x 149 x 57 = 402737584392

Therefore, the lowest common multiple of 674,858,984,149,684 is 402737584392.

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.

674 x 858 x 984 x 149 x 684 = 57994212152448

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.

674 : 1, 2, 337, 674

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

149 : 1, 149

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,858,984,149,684, is 1.

Now, the common factors can be found like this.

674:2x 337

858:2x 3x 11x 13

984:2x 2x 2x 3x 41

149:149

684:2x 2x 3x 3x 19

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 57994212152448/(1x144)

LCM = 57994212152448/144

LCM = 402737584392

Thus, we can understand that the LCM of 674,858,984,149,684 is 402737584392.

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

• LCM of 871, 160, 910, 825, 891
• LCM of 804, 672, 525, 159, 210
• LCM of 614, 235, 317, 282, 728
• LCM of 348, 792, 751, 240, 588
• LCM of 543, 260, 783, 171, 716

1. What is the LCM of 674, 858, 984, 149, 684?

Answer: LCM of 674, 858, 984, 149, 684 is 402737584392.

2. How to calculate the LCM of 674, 858, 984, 149, 684?

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 674, 858, 984, 149, 684.

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}.