Given numbers are 403,438,649,101,214

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

The LCM of 403,438,649,101,214 is 1238023831902.

Find LCM of 403,438,649,101,214 with Prime Factorization

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

2 x 403 x 219 x 649 x 101 x 107 = 1238023831902

Therefore, the lowest common multiple of 403,438,649,101,214 is 1238023831902.

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.

403 x 438 x 649 x 101 x 214 = 2476047663804

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.

403 : 1, 13, 31, 403

438 : 1, 2, 3, 6, 73, 146, 219, 438

649 : 1, 11, 59, 649

101 : 1, 101

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,438,649,101,214, is 1.

Now, the common factors can be found like this.

403:13x 31

438:2x 3x 73

649:11x 59

101:101

214:2x 107

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

2 = 2

Therefore, the value for common factors is 2.

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 = 2476047663804/(1x2)

LCM = 2476047663804/2

LCM = 1238023831902

Thus, we can understand that the LCM of 403,438,649,101,214 is 1238023831902.

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

• LCM of 110, 580, 117, 590, 654
• LCM of 347, 790, 991, 165, 898
• LCM of 188, 423, 116, 981, 882
• LCM of 593, 149, 315, 562, 689
• LCM of 982, 426, 260, 693, 836

1. What is the LCM of 403, 438, 649, 101, 214?

Answer: LCM of 403, 438, 649, 101, 214 is 1238023831902.

2. How to calculate the LCM of 403, 438, 649, 101, 214?

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 403, 438, 649, 101, 214.

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}.