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LCM of 429, 844, 606, 509, 678

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


Find the LCM of 429, 844, 606, 509, 678 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 429, 844, 606, 509, 678. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 429,844,606,509,678

Given numbers are 429,844,606,509,678

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

The LCM of 429,844,606,509,678 is 2103378054492.

Find LCM of 429,844,606,509,678 with Prime Factorization


2 429, 844, 606, 509, 678
3 429, 422, 303, 509, 339
143, 422, 101, 509, 113

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

2 x 3 x 143 x 422 x 101 x 509 x 113 = 2103378054492

Therefore, the lowest common multiple of 429,844,606,509,678 is 2103378054492.

LCM Formula to Find Lowest Common Multiple of 429,844,606,509,678

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.

429 x 844 x 606 x 509 x 678 = 75721609961712

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.

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

844 : 1, 2, 4, 211, 422, 844

606 : 1, 2, 3, 6, 101, 202, 303, 606

509 : 1, 509

678 : 1, 2, 3, 6, 113, 226, 339, 678

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,844,606,509,678, is 1.

Now, the common factors can be found like this.

429:3x 11x 13

844:2x 2x 211

606:2x 3x 101

509:509

678:2x 3x 113

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 3 = 36

Therefore, the value for common factors is 36.

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 = 75721609961712/(1x36)

LCM = 75721609961712/36

LCM = 2103378054492

Thus, we can understand that the LCM of 429,844,606,509,678 is 2103378054492.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 429, 844, 606, 509, 678

1. What is the LCM of 429, 844, 606, 509, 678?

Answer: LCM of 429, 844, 606, 509, 678 is 2103378054492.

2. How to calculate the LCM of 429, 844, 606, 509, 678?

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 429, 844, 606, 509, 678.

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}.