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LCM of 706, 548, 583, 517

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


Find the LCM of 706, 548, 583, 517 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 706, 548, 583, 517. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 706,548,583,517

Given numbers are 706,548,583,517

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

The LCM of 706,548,583,517 is 5300559044.

Find LCM of 706,548,583,517 with Prime Factorization


2 706, 548, 583, 517
11 353, 274, 583, 517
353, 274, 53, 47

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

2 x 11 x 353 x 274 x 53 x 47 = 5300559044

Therefore, the lowest common multiple of 706,548,583,517 is 5300559044.

LCM Formula to Find Lowest Common Multiple of 706,548,583,517

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.

706 x 548 x 583 x 517 = 116612298968

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.

706 : 1, 2, 353, 706

548 : 1, 2, 4, 137, 274, 548

583 : 1, 11, 53, 583

517 : 1, 11, 47, 517

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,548,583,517, is 1.

Now, the common factors can be found like this.

706:2x 353

548:2x 2x 137

583:11x 53

517:11x 47

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 116612298968/(1x22)

LCM = 116612298968/22

LCM = 5300559044

Thus, we can understand that the LCM of 706,548,583,517 is 5300559044.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 706, 548, 583, 517

1. What is the LCM of 706, 548, 583, 517?

Answer: LCM of 706, 548, 583, 517 is 5300559044.

2. How to calculate the LCM of 706, 548, 583, 517?

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 706, 548, 583, 517.

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}.