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LCM of 882, 875, 959, 558, 762

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


Find the LCM of 882, 875, 959, 558, 762 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 882, 875, 959, 558, 762. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 882,875,959,558,762

Given numbers are 882,875,959,558,762

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

The LCM of 882,875,959,558,762 is 59465432250.

Find LCM of 882,875,959,558,762 with Prime Factorization


2 882, 875, 959, 558, 762
3 441, 875, 959, 279, 381
3 147, 875, 959, 93, 127
7 49, 875, 959, 31, 127
7, 125, 137, 31, 127

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

2 x 3 x 3 x 7 x 7 x 125 x 137 x 31 x 127 = 59465432250

Therefore, the lowest common multiple of 882,875,959,558,762 is 59465432250.

LCM Formula to Find Lowest Common Multiple of 882,875,959,558,762

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.

882 x 875 x 959 x 558 x 762 = 314691067467000

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.

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

875 : 1, 5, 7, 25, 35, 125, 175, 875

959 : 1, 7, 137, 959

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

762 : 1, 2, 3, 6, 127, 254, 381, 762

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,875,959,558,762, is 1.

Now, the common factors can be found like this.

882:2x 3x 3x 7x 7

875:5x 5x 5x 7

959:7x 137

558:2x 3x 3x 31

762:2x 3x 127

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 7x 7 = 5292

Therefore, the value for common factors is 5292.

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 = 314691067467000/(1x5292)

LCM = 314691067467000/5292

LCM = 59465432250

Thus, we can understand that the LCM of 882,875,959,558,762 is 59465432250.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 882, 875, 959, 558, 762

1. What is the LCM of 882, 875, 959, 558, 762?

Answer: LCM of 882, 875, 959, 558, 762 is 59465432250.

2. How to calculate the LCM of 882, 875, 959, 558, 762?

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 882, 875, 959, 558, 762.

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}.