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LCM of 959, 911, 732, 435, 340

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


Find the LCM of 959, 911, 732, 435, 340 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, 911, 732, 435, 340. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 959,911,732,435,340

Given numbers are 959,911,732,435,340

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

The LCM of 959,911,732,435,340 is 1576394782620.

Find LCM of 959,911,732,435,340 with Prime Factorization


2 959, 911, 732, 435, 340
2 959, 911, 366, 435, 170
3 959, 911, 183, 435, 85
5 959, 911, 61, 145, 85
959, 911, 61, 29, 17

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

2 x 2 x 3 x 5 x 959 x 911 x 61 x 29 x 17 = 1576394782620

Therefore, the lowest common multiple of 959,911,732,435,340 is 1576394782620.

LCM Formula to Find Lowest Common Multiple of 959,911,732,435,340

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 911 x 732 x 435 x 340 = 94583686957200

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

911 : 1, 911

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

435 : 1, 3, 5, 15, 29, 87, 145, 435

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 959,911,732,435,340, is 1.

Now, the common factors can be found like this.

959:7x 137

911:911

732:2x 2x 3x 61

435:3x 5x 29

340:2x 2x 5x 17

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 5 = 60

Therefore, the value for common factors is 60.

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 = 94583686957200/(1x60)

LCM = 94583686957200/60

LCM = 1576394782620

Thus, we can understand that the LCM of 959,911,732,435,340 is 1576394782620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 959, 911, 732, 435, 340

1. What is the LCM of 959, 911, 732, 435, 340?

Answer: LCM of 959, 911, 732, 435, 340 is 1576394782620.

2. How to calculate the LCM of 959, 911, 732, 435, 340?

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, 911, 732, 435, 340.

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}.