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LCM of 667, 813, 552, 542

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


Find the LCM of 667, 813, 552, 542 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 667, 813, 552, 542. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 667,813,552,542

Given numbers are 667,813,552,542

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

The LCM of 667,813,552,542 is 4338168.

Find LCM of 667,813,552,542 with Prime Factorization


2 667, 813, 552, 542
3 667, 813, 276, 271
23 667, 271, 92, 271
271 29, 271, 4, 271
29, 1, 4, 1

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

2 x 3 x 23 x 271 x 29 x 1 x 4 x 1 = 4338168

Therefore, the lowest common multiple of 667,813,552,542 is 4338168.

LCM Formula to Find Lowest Common Multiple of 667,813,552,542

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.

667 x 813 x 552 x 542 = 162238806864

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.

667 : 1, 23, 29, 667

813 : 1, 3, 271, 813

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

542 : 1, 2, 271, 542

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,813,552,542, is 1.

Now, the common factors can be found like this.

667:23x 29

813:3x 271

552:2x 2x 2x 3x 23

542:2x 271

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

2x 3x 23x 271 = 37398

Therefore, the value for common factors is 37398.

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 = 162238806864/(1x37398)

LCM = 162238806864/37398

LCM = 4338168

Thus, we can understand that the LCM of 667,813,552,542 is 4338168.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 667, 813, 552, 542

1. What is the LCM of 667, 813, 552, 542?

Answer: LCM of 667, 813, 552, 542 is 4338168.

2. How to calculate the LCM of 667, 813, 552, 542?

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 667, 813, 552, 542.

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}.