Given numbers are 314,148,407,706

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

The LCM of 314,148,407,706 is 90225388.

Find LCM of 314,148,407,706 with Prime Factorization

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

2 x 37 x 157 x 2 x 11 x 353 = 90225388

Therefore, the lowest common multiple of 314,148,407,706 is 90225388.

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.

314 x 148 x 407 x 706 = 13353357424

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.

314 : 1, 2, 157, 314

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

407 : 1, 11, 37, 407

706 : 1, 2, 353, 706

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,148,407,706, is 1.

Now, the common factors can be found like this.

314:2x 157

148:2x 2x 37

407:11x 37

706:2x 353

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 37 = 148

Therefore, the value for common factors is 148.

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 = 13353357424/(1x148)

LCM = 13353357424/148

LCM = 90225388

Thus, we can understand that the LCM of 314,148,407,706 is 90225388.

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

• LCM of 579, 797, 116, 207
• LCM of 849, 373, 313, 651
• LCM of 509, 739, 138, 612
• LCM of 332, 397, 554, 886
• LCM of 135, 959, 131, 861

1. What is the LCM of 314, 148, 407, 706?

Answer: LCM of 314, 148, 407, 706 is 90225388.

2. How to calculate the LCM of 314, 148, 407, 706?

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 314, 148, 407, 706.

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}.