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LCM of 133, 689, 169, 565, 302

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


Find the LCM of 133, 689, 169, 565, 302 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 133, 689, 169, 565, 302. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 133,689,169,565,302

Given numbers are 133,689,169,565,302

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

The LCM of 133,689,169,565,302 is 203268277030.

Find LCM of 133,689,169,565,302 with Prime Factorization


13 133, 689, 169, 565, 302
133, 53, 13, 565, 302

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

13 x 133 x 53 x 13 x 565 x 302 = 203268277030

Therefore, the lowest common multiple of 133,689,169,565,302 is 203268277030.

LCM Formula to Find Lowest Common Multiple of 133,689,169,565,302

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.

133 x 689 x 169 x 565 x 302 = 2642487601390

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.

133 : 1, 7, 19, 133

689 : 1, 13, 53, 689

169 : 1, 13, 169

565 : 1, 5, 113, 565

302 : 1, 2, 151, 302

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 133,689,169,565,302, is 1.

Now, the common factors can be found like this.

133:7x 19

689:13x 53

169:13x 13

565:5x 113

302:2x 151

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

13 = 13

Therefore, the value for common factors is 13.

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 = 2642487601390/(1x13)

LCM = 2642487601390/13

LCM = 203268277030

Thus, we can understand that the LCM of 133,689,169,565,302 is 203268277030.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 133, 689, 169, 565, 302

1. What is the LCM of 133, 689, 169, 565, 302?

Answer: LCM of 133, 689, 169, 565, 302 is 203268277030.

2. How to calculate the LCM of 133, 689, 169, 565, 302?

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 133, 689, 169, 565, 302.

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}.