Given numbers are 314,642,354,701

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

The LCM of 314,642,354,701 is 4168739046.

Find LCM of 314,642,354,701 with Prime Factorization

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

2 x 3 x 157 x 107 x 59 x 701 = 4168739046

Therefore, the lowest common multiple of 314,642,354,701 is 4168739046.

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 642 x 354 x 701 = 50024868552

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

642 : 1, 2, 3, 6, 107, 214, 321, 642

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

701 : 1, 701

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,642,354,701, is 1.

Now, the common factors can be found like this.

314:2x 157

642:2x 3x 107

354:2x 3x 59

701:701

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 3 = 12

Therefore, the value for common factors is 12.

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 = 50024868552/(1x12)

LCM = 50024868552/12

LCM = 4168739046

Thus, we can understand that the LCM of 314,642,354,701 is 4168739046.

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

• LCM of 422, 751, 926, 673
• LCM of 527, 618, 977, 896
• LCM of 858, 795, 244, 588
• LCM of 510, 231, 991, 244
• LCM of 589, 891, 877, 976

1. What is the LCM of 314, 642, 354, 701?

Answer: LCM of 314, 642, 354, 701 is 4168739046.

2. How to calculate the LCM of 314, 642, 354, 701?

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, 642, 354, 701.

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}.