Given numbers are 684,749,998

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

The LCM of 684,749,998 is 255645684.

Find LCM of 684,749,998 with Prime Factorization

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

2 x 342 x 749 x 499 = 255645684

Therefore, the lowest common multiple of 684,749,998 is 255645684.

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 749 x 998 = 511291368

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

749 : 1, 7, 107, 749

998 : 1, 2, 499, 998

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,749,998, is 1.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

749:7x 107

998:2x 499

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

2 = 2

Therefore, the value for common factors is 2.

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 = 511291368/(1x2)

LCM = 511291368/2

LCM = 255645684

Thus, we can understand that the LCM of 684,749,998 is 255645684.

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

• LCM of 723, 364, 400
• LCM of 797, 156, 197
• LCM of 292, 455, 547
• LCM of 804, 281, 751
• LCM of 431, 984, 906

1. What is the LCM of 684, 749, 998?

Answer: LCM of 684, 749, 998 is 255645684.

2. How to calculate the LCM of 684, 749, 998?

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, 749, 998.

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}.