Given numbers are 157,314,678

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

The LCM of 157,314,678 is 106446.

Find LCM of 157,314,678 with Prime Factorization

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

2 x 157 x 1 x 1 x 339 = 106446

Therefore, the lowest common multiple of 157,314,678 is 106446.

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.

157 x 314 x 678 = 33424044

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.

157 : 1, 157

314 : 1, 2, 157, 314

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 157,314,678, is 1.

Now, the common factors can be found like this.

157:157

314:2x 157

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 157 = 314

Therefore, the value for common factors is 314.

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 = 33424044/(1x314)

LCM = 33424044/314

LCM = 106446

Thus, we can understand that the LCM of 157,314,678 is 106446.

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

• LCM of 435, 182, 145
• LCM of 837, 337, 907
• LCM of 718, 923, 379
• LCM of 193, 276, 420
• LCM of 204, 234, 979

1. What is the LCM of 157, 314, 678?

Answer: LCM of 157, 314, 678 is 106446.

2. How to calculate the LCM of 157, 314, 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 157, 314, 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}.