Given numbers are 218,249,401,872

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

The LCM of 218,249,401,872 is 87068328.

Find LCM of 218,249,401,872 with Prime Factorization

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

2 x 109 x 1 x 249 x 401 x 4 = 87068328

Therefore, the lowest common multiple of 218,249,401,872 is 87068328.

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.

218 x 249 x 401 x 872 = 18980895504

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.

218 : 1, 2, 109, 218

249 : 1, 3, 83, 249

401 : 1, 401

872 : 1, 2, 4, 8, 109, 218, 436, 872

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,249,401,872, is 1.

Now, the common factors can be found like this.

218:2x 109

249:3x 83

401:401

872:2x 2x 2x 109

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

2x 109 = 218

Therefore, the value for common factors is 218.

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 = 18980895504/(1x218)

LCM = 18980895504/218

LCM = 87068328

Thus, we can understand that the LCM of 218,249,401,872 is 87068328.

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

• LCM of 813, 540, 749, 168
• LCM of 456, 986, 998, 933
• LCM of 216, 159, 745, 929
• LCM of 978, 637, 461, 681
• LCM of 674, 900, 736, 995

1. What is the LCM of 218, 249, 401, 872?

Answer: LCM of 218, 249, 401, 872 is 87068328.

2. How to calculate the LCM of 218, 249, 401, 872?

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 218, 249, 401, 872.

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}.