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LCM of 709, 171, 659, 942, 521

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


Find the LCM of 709, 171, 659, 942, 521 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 709, 171, 659, 942, 521. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 709,171,659,942,521

Given numbers are 709,171,659,942,521

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

The LCM of 709,171,659,942,521 is 13070588184594.

Find LCM of 709,171,659,942,521 with Prime Factorization


3 709, 171, 659, 942, 521
709, 57, 659, 314, 521

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

3 x 709 x 57 x 659 x 314 x 521 = 13070588184594

Therefore, the lowest common multiple of 709,171,659,942,521 is 13070588184594.

LCM Formula to Find Lowest Common Multiple of 709,171,659,942,521

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.

709 x 171 x 659 x 942 x 521 = 39211764553782

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.

709 : 1, 709

171 : 1, 3, 9, 19, 57, 171

659 : 1, 659

942 : 1, 2, 3, 6, 157, 314, 471, 942

521 : 1, 521

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,171,659,942,521, is 1.

Now, the common factors can be found like this.

709:709

171:3x 3x 19

659:659

942:2x 3x 157

521:521

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

3 = 3

Therefore, the value for common factors is 3.

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 = 39211764553782/(1x3)

LCM = 39211764553782/3

LCM = 13070588184594

Thus, we can understand that the LCM of 709,171,659,942,521 is 13070588184594.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 709, 171, 659, 942, 521

1. What is the LCM of 709, 171, 659, 942, 521?

Answer: LCM of 709, 171, 659, 942, 521 is 13070588184594.

2. How to calculate the LCM of 709, 171, 659, 942, 521?

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 709, 171, 659, 942, 521.

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}.