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 726, 351, 270, 102

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


Find the LCM of 726, 351, 270, 102 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 726, 351, 270, 102. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 726,351,270,102

Given numbers are 726,351,270,102

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

The LCM of 726,351,270,102 is 7220070.

Find LCM of 726,351,270,102 with Prime Factorization


2 726, 351, 270, 102
3 363, 351, 135, 51
3 121, 117, 45, 17
3 121, 39, 15, 17
121, 13, 5, 17

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

2 x 3 x 3 x 3 x 121 x 13 x 5 x 17 = 7220070

Therefore, the lowest common multiple of 726,351,270,102 is 7220070.

LCM Formula to Find Lowest Common Multiple of 726,351,270,102

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.

726 x 351 x 270 x 102 = 7017908040

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.

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

351 : 1, 3, 9, 13, 27, 39, 117, 351

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

102 : 1, 2, 3, 6, 17, 34, 51, 102

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,351,270,102, is 3.

Now, the common factors can be found like this.

726:2x 3x 11x 11

351:3x 3x 3x 13

270:2x 3x 3x 3x 5

102:2x 3x 17

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

2x 2x 3x 3x 3x 3 = 324

Therefore, the value for common factors is 324.

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 = 7017908040/(3x324)

LCM = 7017908040/972

LCM = 7220070

Thus, we can understand that the LCM of 726,351,270,102 is 7220070.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 726, 351, 270, 102

1. What is the LCM of 726, 351, 270, 102?

Answer: LCM of 726, 351, 270, 102 is 7220070.

2. How to calculate the LCM of 726, 351, 270, 102?

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 726, 351, 270, 102.

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}.