Given numbers are 684,461,624,103,114

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

The LCM of 684,461,624,103,114 is 1688875344.

Find LCM of 684,461,624,103,114 with Prime Factorization

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

2 x 2 x 3 x 19 x 1 x 461 x 52 x 103 x 3 = 1688875344

Therefore, the lowest common multiple of 684,461,624,103,114 is 1688875344.

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 461 x 624 x 103 x 114 = 2310381470592

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

461 : 1, 461

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

103 : 1, 103

114 : 1, 2, 3, 6, 19, 38, 57, 114

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,461,624,103,114, is 1.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

461:461

624:2x 2x 2x 2x 3x 13

103:103

114:2x 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 3x 3x 19 = 1368

Therefore, the value for common factors is 1368.

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 = 2310381470592/(1x1368)

LCM = 2310381470592/1368

LCM = 1688875344

Thus, we can understand that the LCM of 684,461,624,103,114 is 1688875344.

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

• LCM of 238, 106, 573, 553, 968
• LCM of 714, 156, 952, 522, 890
• LCM of 591, 437, 224, 724, 936
• LCM of 945, 322, 673, 107, 734
• LCM of 520, 549, 716, 642, 269

1. What is the LCM of 684, 461, 624, 103, 114?

Answer: LCM of 684, 461, 624, 103, 114 is 1688875344.

2. How to calculate the LCM of 684, 461, 624, 103, 114?

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, 461, 624, 103, 114.

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}.