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LCM of 691, 169, 546, 208

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


Find the LCM of 691, 169, 546, 208 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 691, 169, 546, 208. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 691,169,546,208

Given numbers are 691,169,546,208

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

The LCM of 691,169,546,208 is 39237744.

Find LCM of 691,169,546,208 with Prime Factorization


2 691, 169, 546, 208
13 691, 169, 273, 104
691, 13, 21, 8

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

2 x 13 x 691 x 13 x 21 x 8 = 39237744

Therefore, the lowest common multiple of 691,169,546,208 is 39237744.

LCM Formula to Find Lowest Common Multiple of 691,169,546,208

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.

691 x 169 x 546 x 208 = 13262357472

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.

691 : 1, 691

169 : 1, 13, 169

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 691,169,546,208, is 1.

Now, the common factors can be found like this.

691:691

169:13x 13

546:2x 3x 7x 13

208:2x 2x 2x 2x 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 13x 13 = 338

Therefore, the value for common factors is 338.

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 = 13262357472/(1x338)

LCM = 13262357472/338

LCM = 39237744

Thus, we can understand that the LCM of 691,169,546,208 is 39237744.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 691, 169, 546, 208

1. What is the LCM of 691, 169, 546, 208?

Answer: LCM of 691, 169, 546, 208 is 39237744.

2. How to calculate the LCM of 691, 169, 546, 208?

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 691, 169, 546, 208.

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}.