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LCM of 150, 920, 887, 750, 558

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


Find the LCM of 150, 920, 887, 750, 558 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 150, 920, 887, 750, 558. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 150,920,887,750,558

Given numbers are 150,920,887,750,558

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

The LCM of 150,920,887,750,558 is 5691879000.

Find LCM of 150,920,887,750,558 with Prime Factorization


2 150, 920, 887, 750, 558
3 75, 460, 887, 375, 279
5 25, 460, 887, 125, 93
5 5, 92, 887, 25, 93
1, 92, 887, 5, 93

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

2 x 3 x 5 x 5 x 1 x 92 x 887 x 5 x 93 = 5691879000

Therefore, the lowest common multiple of 150,920,887,750,558 is 5691879000.

LCM Formula to Find Lowest Common Multiple of 150,920,887,750,558

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.

150 x 920 x 887 x 750 x 558 = 51226911000000

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.

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

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

887 : 1, 887

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 150,920,887,750,558, is 1.

Now, the common factors can be found like this.

150:2x 3x 5x 5

920:2x 2x 2x 5x 23

887:887

750:2x 3x 5x 5x 5

558:2x 3x 3x 31

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 3x 5x 5x 5 = 9000

Therefore, the value for common factors is 9000.

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 = 51226911000000/(1x9000)

LCM = 51226911000000/9000

LCM = 5691879000

Thus, we can understand that the LCM of 150,920,887,750,558 is 5691879000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 150, 920, 887, 750, 558

1. What is the LCM of 150, 920, 887, 750, 558?

Answer: LCM of 150, 920, 887, 750, 558 is 5691879000.

2. How to calculate the LCM of 150, 920, 887, 750, 558?

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 150, 920, 887, 750, 558.

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}.