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LCM of 958, 540, 876, 660, 699

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


Find the LCM of 958, 540, 876, 660, 699 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 958, 540, 876, 660, 699. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 958,540,876,660,699

Given numbers are 958,540,876,660,699

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

The LCM of 958,540,876,660,699 is 48395027340.

Find LCM of 958,540,876,660,699 with Prime Factorization


2 958, 540, 876, 660, 699
2 479, 270, 438, 330, 699
3 479, 135, 219, 165, 699
5 479, 45, 73, 55, 233
479, 9, 73, 11, 233

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

2 x 2 x 3 x 5 x 479 x 9 x 73 x 11 x 233 = 48395027340

Therefore, the lowest common multiple of 958,540,876,660,699 is 48395027340.

LCM Formula to Find Lowest Common Multiple of 958,540,876,660,699

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.

958 x 540 x 876 x 660 x 699 = 209066518108800

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.

958 : 1, 2, 479, 958

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

699 : 1, 3, 233, 699

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,540,876,660,699, is 1.

Now, the common factors can be found like this.

958:2x 479

540:2x 2x 3x 3x 3x 5

876:2x 2x 3x 73

660:2x 2x 3x 5x 11

699:3x 233

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 3x 3x 5 = 4320

Therefore, the value for common factors is 4320.

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 = 209066518108800/(1x4320)

LCM = 209066518108800/4320

LCM = 48395027340

Thus, we can understand that the LCM of 958,540,876,660,699 is 48395027340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 958, 540, 876, 660, 699

1. What is the LCM of 958, 540, 876, 660, 699?

Answer: LCM of 958, 540, 876, 660, 699 is 48395027340.

2. How to calculate the LCM of 958, 540, 876, 660, 699?

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 958, 540, 876, 660, 699.

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}.