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LCM of 557, 118, 236, 829

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


Find the LCM of 557, 118, 236, 829 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 557, 118, 236, 829. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 557,118,236,829

Given numbers are 557,118,236,829

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

The LCM of 557,118,236,829 is 108973708.

Find LCM of 557,118,236,829 with Prime Factorization


2 557, 118, 236, 829
59 557, 59, 118, 829
557, 1, 2, 829

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

2 x 59 x 557 x 1 x 2 x 829 = 108973708

Therefore, the lowest common multiple of 557,118,236,829 is 108973708.

LCM Formula to Find Lowest Common Multiple of 557,118,236,829

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.

557 x 118 x 236 x 829 = 12858897544

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.

557 : 1, 557

118 : 1, 2, 59, 118

236 : 1, 2, 4, 59, 118, 236

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,118,236,829, is 1.

Now, the common factors can be found like this.

557:557

118:2x 59

236:2x 2x 59

829:829

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

2x 59 = 118

Therefore, the value for common factors is 118.

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 = 12858897544/(1x118)

LCM = 12858897544/118

LCM = 108973708

Thus, we can understand that the LCM of 557,118,236,829 is 108973708.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 557, 118, 236, 829

1. What is the LCM of 557, 118, 236, 829?

Answer: LCM of 557, 118, 236, 829 is 108973708.

2. How to calculate the LCM of 557, 118, 236, 829?

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 557, 118, 236, 829.

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}.