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LCM of 442, 177, 786, 117, 888

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


Find the LCM of 442, 177, 786, 117, 888 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 442, 177, 786, 117, 888. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 442,177,786,117,888

Given numbers are 442,177,786,117,888

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

The LCM of 442,177,786,117,888 is 4550402376.

Find LCM of 442,177,786,117,888 with Prime Factorization


2 442, 177, 786, 117, 888
3 221, 177, 393, 117, 444
13 221, 59, 131, 39, 148
17, 59, 131, 3, 148

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

2 x 3 x 13 x 17 x 59 x 131 x 3 x 148 = 4550402376

Therefore, the lowest common multiple of 442,177,786,117,888 is 4550402376.

LCM Formula to Find Lowest Common Multiple of 442,177,786,117,888

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.

442 x 177 x 786 x 117 x 888 = 6388764935904

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.

442 : 1, 2, 13, 17, 26, 34, 221, 442

177 : 1, 3, 59, 177

786 : 1, 2, 3, 6, 131, 262, 393, 786

117 : 1, 3, 9, 13, 39, 117

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,177,786,117,888, is 1.

Now, the common factors can be found like this.

442:2x 13x 17

177:3x 59

786:2x 3x 131

117:3x 3x 13

888:2x 2x 2x 3x 37

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 3x 3x 13 = 1404

Therefore, the value for common factors is 1404.

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 = 6388764935904/(1x1404)

LCM = 6388764935904/1404

LCM = 4550402376

Thus, we can understand that the LCM of 442,177,786,117,888 is 4550402376.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 442, 177, 786, 117, 888

1. What is the LCM of 442, 177, 786, 117, 888?

Answer: LCM of 442, 177, 786, 117, 888 is 4550402376.

2. How to calculate the LCM of 442, 177, 786, 117, 888?

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 442, 177, 786, 117, 888.

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}.