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LCM of 669, 242, 974, 582, 169

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 669, 242, 974, 582, 169 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 669, 242, 974, 582, 169. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 669,242,974,582,169

Given numbers are 669,242,974,582,169

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

The LCM of 669,242,974,582,169 is 1292495036118.

Find LCM of 669,242,974,582,169 with Prime Factorization


2 669, 242, 974, 582, 169
3 669, 121, 487, 291, 169
223, 121, 487, 97, 169

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

2 x 3 x 223 x 121 x 487 x 97 x 169 = 1292495036118

Therefore, the lowest common multiple of 669,242,974,582,169 is 1292495036118.

LCM Formula to Find Lowest Common Multiple of 669,242,974,582,169

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.

669 x 242 x 974 x 582 x 169 = 15509940433416

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.

669 : 1, 3, 223, 669

242 : 1, 2, 11, 22, 121, 242

974 : 1, 2, 487, 974

582 : 1, 2, 3, 6, 97, 194, 291, 582

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 669,242,974,582,169, is 1.

Now, the common factors can be found like this.

669:3x 223

242:2x 11x 11

974:2x 487

582:2x 3x 97

169:13x 13

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 3 = 12

Therefore, the value for common factors is 12.

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 = 15509940433416/(1x12)

LCM = 15509940433416/12

LCM = 1292495036118

Thus, we can understand that the LCM of 669,242,974,582,169 is 1292495036118.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 669, 242, 974, 582, 169

1. What is the LCM of 669, 242, 974, 582, 169?

Answer: LCM of 669, 242, 974, 582, 169 is 1292495036118.

2. How to calculate the LCM of 669, 242, 974, 582, 169?

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 669, 242, 974, 582, 169.

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}.