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LCM of 552, 123, 706, 982, 888

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


Find the LCM of 552, 123, 706, 982, 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 552, 123, 706, 982, 888. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 552,123,706,982,888

Given numbers are 552,123,706,982,888

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

The LCM of 552,123,706,982,888 is 145137907032.

Find LCM of 552,123,706,982,888 with Prime Factorization


2 552, 123, 706, 982, 888
2 276, 123, 353, 491, 444
2 138, 123, 353, 491, 222
3 69, 123, 353, 491, 111
23, 41, 353, 491, 37

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

2 x 2 x 2 x 3 x 23 x 41 x 353 x 491 x 37 = 145137907032

Therefore, the lowest common multiple of 552,123,706,982,888 is 145137907032.

LCM Formula to Find Lowest Common Multiple of 552,123,706,982,888

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.

552 x 123 x 706 x 982 x 888 = 41799717225216

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.

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

123 : 1, 3, 41, 123

706 : 1, 2, 353, 706

982 : 1, 2, 491, 982

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 552,123,706,982,888, is 1.

Now, the common factors can be found like this.

552:2x 2x 2x 3x 23

123:3x 41

706:2x 353

982:2x 491

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 2x 2x 2x 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 41799717225216/(1x288)

LCM = 41799717225216/288

LCM = 145137907032

Thus, we can understand that the LCM of 552,123,706,982,888 is 145137907032.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 552, 123, 706, 982, 888

1. What is the LCM of 552, 123, 706, 982, 888?

Answer: LCM of 552, 123, 706, 982, 888 is 145137907032.

2. How to calculate the LCM of 552, 123, 706, 982, 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 552, 123, 706, 982, 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}.