Given numbers are 678,461,771

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

The LCM of 678,461,771 is 80327406.

Find LCM of 678,461,771 with Prime Factorization

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

3 x 226 x 461 x 257 = 80327406

Therefore, the lowest common multiple of 678,461,771 is 80327406.

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.

678 x 461 x 771 = 240982218

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.

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

461 : 1, 461

771 : 1, 3, 257, 771

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,461,771, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

461:461

771:3x 257

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

3 = 3

Therefore, the value for common factors is 3.

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 = 240982218/(1x3)

LCM = 240982218/3

LCM = 80327406

Thus, we can understand that the LCM of 678,461,771 is 80327406.

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

• LCM of 509, 490, 907
• LCM of 755, 823, 646
• LCM of 368, 356, 321
• LCM of 517, 269, 877
• LCM of 415, 388, 865

1. What is the LCM of 678, 461, 771?

Answer: LCM of 678, 461, 771 is 80327406.

2. How to calculate the LCM of 678, 461, 771?

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 678, 461, 771.

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}.