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LCM of 169, 708, 412, 364

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


Find the LCM of 169, 708, 412, 364 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 169, 708, 412, 364. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 169,708,412,364

Given numbers are 169,708,412,364

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

The LCM of 169,708,412,364 is 86269092.

Find LCM of 169,708,412,364 with Prime Factorization


2 169, 708, 412, 364
2 169, 354, 206, 182
13 169, 177, 103, 91
13, 177, 103, 7

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

2 x 2 x 13 x 13 x 177 x 103 x 7 = 86269092

Therefore, the lowest common multiple of 169,708,412,364 is 86269092.

LCM Formula to Find Lowest Common Multiple of 169,708,412,364

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.

169 x 708 x 412 x 364 = 17943971136

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.

169 : 1, 13, 169

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

412 : 1, 2, 4, 103, 206, 412

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,708,412,364, is 1.

Now, the common factors can be found like this.

169:13x 13

708:2x 2x 3x 59

412:2x 2x 103

364:2x 2x 7x 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 2x 2x 13 = 208

Therefore, the value for common factors is 208.

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 = 17943971136/(1x208)

LCM = 17943971136/208

LCM = 86269092

Thus, we can understand that the LCM of 169,708,412,364 is 86269092.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 169, 708, 412, 364

1. What is the LCM of 169, 708, 412, 364?

Answer: LCM of 169, 708, 412, 364 is 86269092.

2. How to calculate the LCM of 169, 708, 412, 364?

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 169, 708, 412, 364.

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}.