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LCM of 616, 429, 231, 748

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


Find the LCM of 616, 429, 231, 748 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 616, 429, 231, 748. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 616,429,231,748

Given numbers are 616,429,231,748

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

The LCM of 616,429,231,748 is 408408.

Find LCM of 616,429,231,748 with Prime Factorization


2 616, 429, 231, 748
2 308, 429, 231, 374
3 154, 429, 231, 187
7 154, 143, 77, 187
11 22, 143, 11, 187
2, 13, 1, 17

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

2 x 2 x 3 x 7 x 11 x 2 x 13 x 1 x 17 = 408408

Therefore, the lowest common multiple of 616,429,231,748 is 408408.

LCM Formula to Find Lowest Common Multiple of 616,429,231,748

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.

616 x 429 x 231 x 748 = 45661648032

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.

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

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

231 : 1, 3, 7, 11, 21, 33, 77, 231

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,429,231,748, is 11.

Now, the common factors can be found like this.

616:2x 2x 2x 7x 11

429:3x 11x 13

231:3x 7x 11

748:2x 2x 11x 17

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 3x 7x 11x 11 = 10164

Therefore, the value for common factors is 10164.

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 = 45661648032/(11x10164)

LCM = 45661648032/111804

LCM = 408408

Thus, we can understand that the LCM of 616,429,231,748 is 408408.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 616, 429, 231, 748

1. What is the LCM of 616, 429, 231, 748?

Answer: LCM of 616, 429, 231, 748 is 408408.

2. How to calculate the LCM of 616, 429, 231, 748?

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 616, 429, 231, 748.

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}.