Given numbers are 387,688,194,678

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

The LCM of 387,688,194,678 is 67870512.

Find LCM of 387,688,194,678 with Prime Factorization

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

2 x 3 x 43 x 3 x 8 x 97 x 113 = 67870512

Therefore, the lowest common multiple of 387,688,194,678 is 67870512.

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.

387 x 688 x 194 x 678 = 35021184192

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.

387 : 1, 3, 9, 43, 129, 387

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

194 : 1, 2, 97, 194

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 387,688,194,678, is 1.

Now, the common factors can be found like this.

387:3x 3x 43

688:2x 2x 2x 2x 43

194:2x 97

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 2x 3x 43 = 516

Therefore, the value for common factors is 516.

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 = 35021184192/(1x516)

LCM = 35021184192/516

LCM = 67870512

Thus, we can understand that the LCM of 387,688,194,678 is 67870512.

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

• LCM of 436, 991, 121, 197
• LCM of 974, 867, 587, 489
• LCM of 967, 362, 490, 748
• LCM of 858, 791, 855, 870
• LCM of 475, 235, 962, 892

1. What is the LCM of 387, 688, 194, 678?

Answer: LCM of 387, 688, 194, 678 is 67870512.

2. How to calculate the LCM of 387, 688, 194, 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 387, 688, 194, 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}.