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LCM of 627, 846, 150, 882

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


Find the LCM of 627, 846, 150, 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 627, 846, 150, 882. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 627,846,150,882

Given numbers are 627,846,150,882

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

The LCM of 627,846,150,882 is 216597150.

Find LCM of 627,846,150,882 with Prime Factorization


2 627, 846, 150, 882
3 627, 423, 75, 441
3 209, 141, 25, 147
209, 47, 25, 49

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

2 x 3 x 3 x 209 x 47 x 25 x 49 = 216597150

Therefore, the lowest common multiple of 627,846,150,882 is 216597150.

LCM Formula to Find Lowest Common Multiple of 627,846,150,882

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.

627 x 846 x 150 x 882 = 70177476600

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.

627 : 1, 3, 11, 19, 33, 57, 209, 627

846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,846,150,882, is 3.

Now, the common factors can be found like this.

627:3x 11x 19

846:2x 3x 3x 47

150:2x 3x 5x 5

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 70177476600/(3x108)

LCM = 70177476600/324

LCM = 216597150

Thus, we can understand that the LCM of 627,846,150,882 is 216597150.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 627, 846, 150, 882

1. What is the LCM of 627, 846, 150, 882?

Answer: LCM of 627, 846, 150, 882 is 216597150.

2. How to calculate the LCM of 627, 846, 150, 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 627, 846, 150, 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}.