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LCM of 909, 265, 689, 533

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


Find the LCM of 909, 265, 689, 533 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 909, 265, 689, 533. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 909,265,689,533

Given numbers are 909,265,689,533

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

The LCM of 909,265,689,533 is 128391705.

Find LCM of 909,265,689,533 with Prime Factorization


13 909, 265, 689, 533
53 909, 265, 53, 41
909, 5, 1, 41

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

13 x 53 x 909 x 5 x 1 x 41 = 128391705

Therefore, the lowest common multiple of 909,265,689,533 is 128391705.

LCM Formula to Find Lowest Common Multiple of 909,265,689,533

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.

909 x 265 x 689 x 533 = 88461884745

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.

909 : 1, 3, 9, 101, 303, 909

265 : 1, 5, 53, 265

689 : 1, 13, 53, 689

533 : 1, 13, 41, 533

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,265,689,533, is 1.

Now, the common factors can be found like this.

909:3x 3x 101

265:5x 53

689:13x 53

533:13x 41

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

13x 53 = 689

Therefore, the value for common factors is 689.

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 = 88461884745/(1x689)

LCM = 88461884745/689

LCM = 128391705

Thus, we can understand that the LCM of 909,265,689,533 is 128391705.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 909, 265, 689, 533

1. What is the LCM of 909, 265, 689, 533?

Answer: LCM of 909, 265, 689, 533 is 128391705.

2. How to calculate the LCM of 909, 265, 689, 533?

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 909, 265, 689, 533.

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}.