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LCM of 884, 226, 669, 578, 882

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


Find the LCM of 884, 226, 669, 578, 882 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 884, 226, 669, 578, 882. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 884,226,669,578,882

Given numbers are 884,226,669,578,882

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

The LCM of 884,226,669,578,882 is 167002542252.

Find LCM of 884,226,669,578,882 with Prime Factorization


2 884, 226, 669, 578, 882
3 442, 113, 669, 289, 441
17 442, 113, 223, 289, 147
26, 113, 223, 17, 147

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

2 x 3 x 17 x 26 x 113 x 223 x 17 x 147 = 167002542252

Therefore, the lowest common multiple of 884,226,669,578,882 is 167002542252.

LCM Formula to Find Lowest Common Multiple of 884,226,669,578,882

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.

884 x 226 x 669 x 578 x 882 = 68137037238816

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.

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

226 : 1, 2, 113, 226

669 : 1, 3, 223, 669

578 : 1, 2, 17, 34, 289, 578

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,226,669,578,882, is 1.

Now, the common factors can be found like this.

884:2x 2x 13x 17

226:2x 113

669:3x 223

578:2x 17x 17

882:2x 3x 3x 7x 7

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 3x 17 = 408

Therefore, the value for common factors is 408.

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 = 68137037238816/(1x408)

LCM = 68137037238816/408

LCM = 167002542252

Thus, we can understand that the LCM of 884,226,669,578,882 is 167002542252.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 884, 226, 669, 578, 882

1. What is the LCM of 884, 226, 669, 578, 882?

Answer: LCM of 884, 226, 669, 578, 882 is 167002542252.

2. How to calculate the LCM of 884, 226, 669, 578, 882?

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 884, 226, 669, 578, 882.

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}.