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LCM of 950, 880, 492, 604, 589

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


Find the LCM of 950, 880, 492, 604, 589 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 950, 880, 492, 604, 589. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 950,880,492,604,589

Given numbers are 950,880,492,604,589

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

The LCM of 950,880,492,604,589 is 48133786800.

Find LCM of 950,880,492,604,589 with Prime Factorization


2 950, 880, 492, 604, 589
2 475, 440, 246, 302, 589
5 475, 220, 123, 151, 589
19 95, 44, 123, 151, 589
5, 44, 123, 151, 31

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

2 x 2 x 5 x 19 x 5 x 44 x 123 x 151 x 31 = 48133786800

Therefore, the lowest common multiple of 950,880,492,604,589 is 48133786800.

LCM Formula to Find Lowest Common Multiple of 950,880,492,604,589

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.

950 x 880 x 492 x 604 x 589 = 146326711872000

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.

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

604 : 1, 2, 4, 151, 302, 604

589 : 1, 19, 31, 589

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 950,880,492,604,589, is 1.

Now, the common factors can be found like this.

950:2x 5x 5x 19

880:2x 2x 2x 2x 5x 11

492:2x 2x 3x 41

604:2x 2x 151

589:19x 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 2x 2x 5x 19 = 3040

Therefore, the value for common factors is 3040.

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 = 146326711872000/(1x3040)

LCM = 146326711872000/3040

LCM = 48133786800

Thus, we can understand that the LCM of 950,880,492,604,589 is 48133786800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 950, 880, 492, 604, 589

1. What is the LCM of 950, 880, 492, 604, 589?

Answer: LCM of 950, 880, 492, 604, 589 is 48133786800.

2. How to calculate the LCM of 950, 880, 492, 604, 589?

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 950, 880, 492, 604, 589.

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}.