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LCM of 584, 101, 889, 808

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


Find the LCM of 584, 101, 889, 808 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 584, 101, 889, 808. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 584,101,889,808

Given numbers are 584,101,889,808

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

The LCM of 584,101,889,808 is 52436776.

Find LCM of 584,101,889,808 with Prime Factorization


2 584, 101, 889, 808
2 292, 101, 889, 404
2 146, 101, 889, 202
101 73, 101, 889, 101
73, 1, 889, 1

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

2 x 2 x 2 x 101 x 73 x 1 x 889 x 1 = 52436776

Therefore, the lowest common multiple of 584,101,889,808 is 52436776.

LCM Formula to Find Lowest Common Multiple of 584,101,889,808

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.

584 x 101 x 889 x 808 = 42368915008

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.

584 : 1, 2, 4, 8, 73, 146, 292, 584

101 : 1, 101

889 : 1, 7, 127, 889

808 : 1, 2, 4, 8, 101, 202, 404, 808

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,101,889,808, is 1.

Now, the common factors can be found like this.

584:2x 2x 2x 73

101:101

889:7x 127

808:2x 2x 2x 101

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 101 = 808

Therefore, the value for common factors is 808.

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 = 42368915008/(1x808)

LCM = 42368915008/808

LCM = 52436776

Thus, we can understand that the LCM of 584,101,889,808 is 52436776.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 584, 101, 889, 808

1. What is the LCM of 584, 101, 889, 808?

Answer: LCM of 584, 101, 889, 808 is 52436776.

2. How to calculate the LCM of 584, 101, 889, 808?

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 584, 101, 889, 808.

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}.