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LCM of 338, 429, 979, 372

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


Find the LCM of 338, 429, 979, 372 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 338, 429, 979, 372. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 338,429,979,372

Given numbers are 338,429,979,372

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

The LCM of 338,429,979,372 is 61547772.

Find LCM of 338,429,979,372 with Prime Factorization


2 338, 429, 979, 372
3 169, 429, 979, 186
11 169, 143, 979, 62
13 169, 13, 89, 62
1, 13, 89, 62

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

2 x 3 x 11 x 13 x 1 x 13 x 89 x 62 = 61547772

Therefore, the lowest common multiple of 338,429,979,372 is 61547772.

LCM Formula to Find Lowest Common Multiple of 338,429,979,372

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.

338 x 429 x 979 x 372 = 52807988376

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.

338 : 1, 2, 13, 26, 169, 338

429 : 1, 3, 11, 13, 33, 39, 143, 429

979 : 1, 11, 89, 979

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,429,979,372, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

429:3x 11x 13

979:11x 89

372:2x 2x 3x 31

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

2x 3x 11x 13 = 858

Therefore, the value for common factors is 858.

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 = 52807988376/(1x858)

LCM = 52807988376/858

LCM = 61547772

Thus, we can understand that the LCM of 338,429,979,372 is 61547772.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 338, 429, 979, 372

1. What is the LCM of 338, 429, 979, 372?

Answer: LCM of 338, 429, 979, 372 is 61547772.

2. How to calculate the LCM of 338, 429, 979, 372?

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 338, 429, 979, 372.

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}.