Given numbers are 148,354,314,334

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

The LCM of 148,354,314,334 is 686832924.

Find LCM of 148,354,314,334 with Prime Factorization

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

2 x 74 x 177 x 157 x 167 = 686832924

Therefore, the lowest common multiple of 148,354,314,334 is 686832924.

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.

148 x 354 x 314 x 334 = 5494663392

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.

148 : 1, 2, 4, 37, 74, 148

354 : 1, 2, 3, 6, 59, 118, 177, 354

314 : 1, 2, 157, 314

334 : 1, 2, 167, 334

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 148,354,314,334, is 2.

Now, the common factors can be found like this.

148:2x 2x 37

354:2x 3x 59

314:2x 157

334:2x 167

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 5494663392/(2x4)

LCM = 5494663392/8

LCM = 686832924

Thus, we can understand that the LCM of 148,354,314,334 is 686832924.

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

• LCM of 802, 410, 184, 619
• LCM of 263, 431, 980, 919
• LCM of 940, 984, 600, 947
• LCM of 151, 768, 258, 440
• LCM of 525, 980, 842, 316

1. What is the LCM of 148, 354, 314, 334?

Answer: LCM of 148, 354, 314, 334 is 686832924.

2. How to calculate the LCM of 148, 354, 314, 334?

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 148, 354, 314, 334.

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}.