Given numbers are 624,346,120,124,458

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

The LCM of 624,346,120,124,458 is 3831756240.

Find LCM of 624,346,120,124,458 with Prime Factorization

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

2 x 2 x 2 x 3 x 26 x 173 x 5 x 31 x 229 = 3831756240

Therefore, the lowest common multiple of 624,346,120,124,458 is 3831756240.

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.

624 x 346 x 120 x 124 x 458 = 1471394396160

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.

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

346 : 1, 2, 173, 346

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

124 : 1, 2, 4, 31, 62, 124

458 : 1, 2, 229, 458

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,346,120,124,458, is 2.

Now, the common factors can be found like this.

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

346:2x 173

120:2x 2x 2x 3x 5

124:2x 2x 31

458:2x 229

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 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 1471394396160/(2x192)

LCM = 1471394396160/384

LCM = 3831756240

Thus, we can understand that the LCM of 624,346,120,124,458 is 3831756240.

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

• LCM of 757, 274, 914, 684, 877
• LCM of 442, 528, 350, 328, 196
• LCM of 667, 431, 245, 620, 296
• LCM of 383, 789, 279, 674, 141
• LCM of 851, 501, 143, 605, 807

1. What is the LCM of 624, 346, 120, 124, 458?

Answer: LCM of 624, 346, 120, 124, 458 is 3831756240.

2. How to calculate the LCM of 624, 346, 120, 124, 458?

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 624, 346, 120, 124, 458.

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}.