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LCM of 717, 978, 722, 473

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


Find the LCM of 717, 978, 722, 473 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 717, 978, 722, 473. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 717,978,722,473

Given numbers are 717,978,722,473

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

The LCM of 717,978,722,473 is 39912147726.

Find LCM of 717,978,722,473 with Prime Factorization


2 717, 978, 722, 473
3 717, 489, 361, 473
239, 163, 361, 473

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

2 x 3 x 239 x 163 x 361 x 473 = 39912147726

Therefore, the lowest common multiple of 717,978,722,473 is 39912147726.

LCM Formula to Find Lowest Common Multiple of 717,978,722,473

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.

717 x 978 x 722 x 473 = 239472886356

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.

717 : 1, 3, 239, 717

978 : 1, 2, 3, 6, 163, 326, 489, 978

722 : 1, 2, 19, 38, 361, 722

473 : 1, 11, 43, 473

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,978,722,473, is 1.

Now, the common factors can be found like this.

717:3x 239

978:2x 3x 163

722:2x 19x 19

473:11x 43

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 239472886356/(1x6)

LCM = 239472886356/6

LCM = 39912147726

Thus, we can understand that the LCM of 717,978,722,473 is 39912147726.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 717, 978, 722, 473

1. What is the LCM of 717, 978, 722, 473?

Answer: LCM of 717, 978, 722, 473 is 39912147726.

2. How to calculate the LCM of 717, 978, 722, 473?

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 717, 978, 722, 473.

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}.