Given numbers are 731,865,346,678

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

The LCM of 731,865,346,678 is 428709570.

Find LCM of 731,865,346,678 with Prime Factorization

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

2 x 173 x 731 x 5 x 1 x 339 = 428709570

Therefore, the lowest common multiple of 731,865,346,678 is 428709570.

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.

731 x 865 x 346 x 678 = 148333511220

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.

731 : 1, 17, 43, 731

865 : 1, 5, 173, 865

346 : 1, 2, 173, 346

678 : 1, 2, 3, 6, 113, 226, 339, 678

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,865,346,678, is 1.

Now, the common factors can be found like this.

731:17x 43

865:5x 173

346:2x 173

678:2x 3x 113

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

2x 173 = 346

Therefore, the value for common factors is 346.

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 = 148333511220/(1x346)

LCM = 148333511220/346

LCM = 428709570

Thus, we can understand that the LCM of 731,865,346,678 is 428709570.

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

• LCM of 175, 282, 520, 120
• LCM of 840, 594, 709, 853
• LCM of 762, 263, 729, 184
• LCM of 209, 661, 857, 489
• LCM of 580, 601, 735, 404

1. What is the LCM of 731, 865, 346, 678?

Answer: LCM of 731, 865, 346, 678 is 428709570.

2. How to calculate the LCM of 731, 865, 346, 678?

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 731, 865, 346, 678.

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}.