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LCM of 676, 774, 104, 377, 203

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


Find the LCM of 676, 774, 104, 377, 203 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 676, 774, 104, 377, 203. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 676,774,104,377,203

Given numbers are 676,774,104,377,203

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

The LCM of 676,774,104,377,203 is 106214472.

Find LCM of 676,774,104,377,203 with Prime Factorization


2 676, 774, 104, 377, 203
2 338, 387, 52, 377, 203
13 169, 387, 26, 377, 203
29 13, 387, 2, 29, 203
13, 387, 2, 1, 7

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

2 x 2 x 13 x 29 x 13 x 387 x 2 x 1 x 7 = 106214472

Therefore, the lowest common multiple of 676,774,104,377,203 is 106214472.

LCM Formula to Find Lowest Common Multiple of 676,774,104,377,203

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.

676 x 774 x 104 x 377 x 203 = 4164457018176

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

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

377 : 1, 13, 29, 377

203 : 1, 7, 29, 203

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,774,104,377,203, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

774:2x 3x 3x 43

104:2x 2x 2x 13

377:13x 29

203:7x 29

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 13x 13x 29 = 39208

Therefore, the value for common factors is 39208.

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 = 4164457018176/(1x39208)

LCM = 4164457018176/39208

LCM = 106214472

Thus, we can understand that the LCM of 676,774,104,377,203 is 106214472.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 676, 774, 104, 377, 203

1. What is the LCM of 676, 774, 104, 377, 203?

Answer: LCM of 676, 774, 104, 377, 203 is 106214472.

2. How to calculate the LCM of 676, 774, 104, 377, 203?

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 676, 774, 104, 377, 203.

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}.