Given numbers are 638,398,401,532,314

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

The LCM of 638,398,401,532,314 is 2126177004644.

Find LCM of 638,398,401,532,314 with Prime Factorization

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

2 x 319 x 199 x 401 x 266 x 157 = 2126177004644

Therefore, the lowest common multiple of 638,398,401,532,314 is 2126177004644.

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.

638 x 398 x 401 x 532 x 314 = 17009416037152

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.

638 : 1, 2, 11, 22, 29, 58, 319, 638

398 : 1, 2, 199, 398

401 : 1, 401

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,398,401,532,314, is 1.

Now, the common factors can be found like this.

638:2x 11x 29

398:2x 199

401:401

532:2x 2x 7x 19

314:2x 157

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 2 = 8

Therefore, the value for common factors is 8.

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 = 17009416037152/(1x8)

LCM = 17009416037152/8

LCM = 2126177004644

Thus, we can understand that the LCM of 638,398,401,532,314 is 2126177004644.

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

• LCM of 756, 929, 897, 612, 719
• LCM of 162, 458, 940, 265, 142
• LCM of 995, 521, 817, 176, 336
• LCM of 749, 786, 760, 221, 888
• LCM of 897, 585, 831, 802, 639

1. What is the LCM of 638, 398, 401, 532, 314?

Answer: LCM of 638, 398, 401, 532, 314 is 2126177004644.

2. How to calculate the LCM of 638, 398, 401, 532, 314?

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 638, 398, 401, 532, 314.

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}.