Given numbers are 754,466,169,214

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

The LCM of 754,466,169,214 is 244373662.

Find LCM of 754,466,169,214 with Prime Factorization

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

2 x 13 x 29 x 233 x 13 x 107 = 244373662

Therefore, the lowest common multiple of 754,466,169,214 is 244373662.

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.

754 x 466 x 169 x 214 = 12707430424

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.

754 : 1, 2, 13, 26, 29, 58, 377, 754

466 : 1, 2, 233, 466

169 : 1, 13, 169

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,466,169,214, is 1.

Now, the common factors can be found like this.

754:2x 13x 29

466:2x 233

169:13x 13

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.

2x 2x 13 = 52

Therefore, the value for common factors is 52.

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 = 12707430424/(1x52)

LCM = 12707430424/52

LCM = 244373662

Thus, we can understand that the LCM of 754,466,169,214 is 244373662.

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

• LCM of 332, 649, 194, 171
• LCM of 817, 816, 824, 728
• LCM of 667, 478, 335, 550
• LCM of 980, 690, 623, 405
• LCM of 884, 387, 631, 991

1. What is the LCM of 754, 466, 169, 214?

Answer: LCM of 754, 466, 169, 214 is 244373662.

2. How to calculate the LCM of 754, 466, 169, 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 754, 466, 169, 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}.