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LCM of 959, 505, 902, 475

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


Find the LCM of 959, 505, 902, 475 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 959, 505, 902, 475. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 959,505,902,475

Given numbers are 959,505,902,475

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

The LCM of 959,505,902,475 is 41499238550.

Find LCM of 959,505,902,475 with Prime Factorization


5 959, 505, 902, 475
959, 101, 902, 95

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

5 x 959 x 101 x 902 x 95 = 41499238550

Therefore, the lowest common multiple of 959,505,902,475 is 41499238550.

LCM Formula to Find Lowest Common Multiple of 959,505,902,475

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.

959 x 505 x 902 x 475 = 207496192750

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.

959 : 1, 7, 137, 959

505 : 1, 5, 101, 505

902 : 1, 2, 11, 22, 41, 82, 451, 902

475 : 1, 5, 19, 25, 95, 475

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 959,505,902,475, is 1.

Now, the common factors can be found like this.

959:7x 137

505:5x 101

902:2x 11x 41

475:5x 5x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5 = 5

Therefore, the value for common factors is 5.

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 = 207496192750/(1x5)

LCM = 207496192750/5

LCM = 41499238550

Thus, we can understand that the LCM of 959,505,902,475 is 41499238550.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 959, 505, 902, 475

1. What is the LCM of 959, 505, 902, 475?

Answer: LCM of 959, 505, 902, 475 is 41499238550.

2. How to calculate the LCM of 959, 505, 902, 475?

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 959, 505, 902, 475.

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}.