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LCM of 468, 427, 871, 551

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


Find the LCM of 468, 427, 871, 551 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 468, 427, 871, 551. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 468,427,871,551

Given numbers are 468,427,871,551

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

The LCM of 468,427,871,551 is 7377345612.

Find LCM of 468,427,871,551 with Prime Factorization


13 468, 427, 871, 551
36, 427, 67, 551

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

13 x 36 x 427 x 67 x 551 = 7377345612

Therefore, the lowest common multiple of 468,427,871,551 is 7377345612.

LCM Formula to Find Lowest Common Multiple of 468,427,871,551

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.

468 x 427 x 871 x 551 = 95905492956

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

427 : 1, 7, 61, 427

871 : 1, 13, 67, 871

551 : 1, 19, 29, 551

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,427,871,551, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

427:7x 61

871:13x 67

551:19x 29

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

13 = 13

Therefore, the value for common factors is 13.

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 = 95905492956/(1x13)

LCM = 95905492956/13

LCM = 7377345612

Thus, we can understand that the LCM of 468,427,871,551 is 7377345612.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 468, 427, 871, 551

1. What is the LCM of 468, 427, 871, 551?

Answer: LCM of 468, 427, 871, 551 is 7377345612.

2. How to calculate the LCM of 468, 427, 871, 551?

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 468, 427, 871, 551.

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}.