LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 713, 838, 532, 171

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


Find the LCM of 713, 838, 532, 171 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 713, 838, 532, 171. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 713,838,532,171

Given numbers are 713,838,532,171

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

The LCM of 713,838,532,171 is 1430400636.

Find LCM of 713,838,532,171 with Prime Factorization


2 713, 838, 532, 171
19 713, 419, 266, 171
713, 419, 14, 9

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

2 x 19 x 713 x 419 x 14 x 9 = 1430400636

Therefore, the lowest common multiple of 713,838,532,171 is 1430400636.

LCM Formula to Find Lowest Common Multiple of 713,838,532,171

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.

713 x 838 x 532 x 171 = 54355224168

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.

713 : 1, 23, 31, 713

838 : 1, 2, 419, 838

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 713,838,532,171, is 1.

Now, the common factors can be found like this.

713:23x 31

838:2x 419

532:2x 2x 7x 19

171:3x 3x 19

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

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 54355224168/(1x38)

LCM = 54355224168/38

LCM = 1430400636

Thus, we can understand that the LCM of 713,838,532,171 is 1430400636.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 713, 838, 532, 171

1. What is the LCM of 713, 838, 532, 171?

Answer: LCM of 713, 838, 532, 171 is 1430400636.

2. How to calculate the LCM of 713, 838, 532, 171?

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 713, 838, 532, 171.

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}.