Given numbers are 493,403,292,117,217

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

The LCM of 493,403,292,117,217 is 3654898884.

Find LCM of 493,403,292,117,217 with Prime Factorization

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

13 x 31 x 493 x 1 x 292 x 9 x 7 = 3654898884

Therefore, the lowest common multiple of 493,403,292,117,217 is 3654898884.

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.

493 x 403 x 292 x 117 x 217 = 1472924250252

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.

493 : 1, 17, 29, 493

403 : 1, 13, 31, 403

292 : 1, 2, 4, 73, 146, 292

117 : 1, 3, 9, 13, 39, 117

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,403,292,117,217, is 1.

Now, the common factors can be found like this.

493:17x 29

403:13x 31

292:2x 2x 73

117:3x 3x 13

217:7x 31

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

13x 31 = 403

Therefore, the value for common factors is 403.

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 = 1472924250252/(1x403)

LCM = 1472924250252/403

LCM = 3654898884

Thus, we can understand that the LCM of 493,403,292,117,217 is 3654898884.

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

• LCM of 855, 788, 862, 550, 223
• LCM of 123, 996, 759, 959, 905
• LCM of 356, 433, 952, 400, 540
• LCM of 213, 366, 744, 757, 306
• LCM of 184, 914, 129, 625, 795

1. What is the LCM of 493, 403, 292, 117, 217?

Answer: LCM of 493, 403, 292, 117, 217 is 3654898884.

2. How to calculate the LCM of 493, 403, 292, 117, 217?

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 493, 403, 292, 117, 217.

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}.