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LCM of 169, 937, 208, 458

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


Find the LCM of 169, 937, 208, 458 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, 937, 208, 458. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 169,937,208,458

Given numbers are 169,937,208,458

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

The LCM of 169,937,208,458 is 580205392.

Find LCM of 169,937,208,458 with Prime Factorization


2 169, 937, 208, 458
13 169, 937, 104, 229
13, 937, 8, 229

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

2 x 13 x 13 x 937 x 8 x 229 = 580205392

Therefore, the lowest common multiple of 169,937,208,458 is 580205392.

LCM Formula to Find Lowest Common Multiple of 169,937,208,458

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 937 x 208 x 458 = 15085340192

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

937 : 1, 937

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

458 : 1, 2, 229, 458

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,937,208,458, is 1.

Now, the common factors can be found like this.

169:13x 13

937:937

208:2x 2x 2x 2x 13

458:2x 229

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 15085340192/(1x26)

LCM = 15085340192/26

LCM = 580205392

Thus, we can understand that the LCM of 169,937,208,458 is 580205392.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 169, 937, 208, 458

1. What is the LCM of 169, 937, 208, 458?

Answer: LCM of 169, 937, 208, 458 is 580205392.

2. How to calculate the LCM of 169, 937, 208, 458?

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, 937, 208, 458.

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}.