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LCM of 241, 551, 265, 545, 565

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


Find the LCM of 241, 551, 265, 545, 565 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 241, 551, 265, 545, 565. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 241,551,265,545,565

Given numbers are 241,551,265,545,565

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

The LCM of 241,551,265,545,565 is 433430487955.

Find LCM of 241,551,265,545,565 with Prime Factorization


5 241, 551, 265, 545, 565
241, 551, 53, 109, 113

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

5 x 241 x 551 x 53 x 109 x 113 = 433430487955

Therefore, the lowest common multiple of 241,551,265,545,565 is 433430487955.

LCM Formula to Find Lowest Common Multiple of 241,551,265,545,565

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.

241 x 551 x 265 x 545 x 565 = 10835762198875

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.

241 : 1, 241

551 : 1, 19, 29, 551

265 : 1, 5, 53, 265

545 : 1, 5, 109, 545

565 : 1, 5, 113, 565

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 241,551,265,545,565, is 1.

Now, the common factors can be found like this.

241:241

551:19x 29

265:5x 53

545:5x 109

565:5x 113

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 10835762198875/(1x25)

LCM = 10835762198875/25

LCM = 433430487955

Thus, we can understand that the LCM of 241,551,265,545,565 is 433430487955.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 241, 551, 265, 545, 565

1. What is the LCM of 241, 551, 265, 545, 565?

Answer: LCM of 241, 551, 265, 545, 565 is 433430487955.

2. How to calculate the LCM of 241, 551, 265, 545, 565?

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 241, 551, 265, 545, 565.

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}.