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 338, 968, 726, 600, 103

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


Find the LCM of 338, 968, 726, 600, 103 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 338, 968, 726, 600, 103. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 338,968,726,600,103

Given numbers are 338,968,726,600,103

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

The LCM of 338,968,726,600,103 is 1263748200.

Find LCM of 338,968,726,600,103 with Prime Factorization


2 338, 968, 726, 600, 103
2 169, 484, 363, 300, 103
2 169, 242, 363, 150, 103
3 169, 121, 363, 75, 103
11 169, 121, 121, 25, 103
11 169, 11, 11, 25, 103
169, 1, 1, 25, 103

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

2 x 2 x 2 x 3 x 11 x 11 x 169 x 1 x 1 x 25 x 103 = 1263748200

Therefore, the lowest common multiple of 338,968,726,600,103 is 1263748200.

LCM Formula to Find Lowest Common Multiple of 338,968,726,600,103

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.

338 x 968 x 726 x 600 x 103 = 14679699091200

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.

338 : 1, 2, 13, 26, 169, 338

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

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

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

103 : 1, 103

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,968,726,600,103, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

968:2x 2x 2x 11x 11

726:2x 3x 11x 11

600:2x 2x 2x 3x 5x 5

103:103

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 2x 2x 2x 3x 11x 11 = 11616

Therefore, the value for common factors is 11616.

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 = 14679699091200/(1x11616)

LCM = 14679699091200/11616

LCM = 1263748200

Thus, we can understand that the LCM of 338,968,726,600,103 is 1263748200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 338, 968, 726, 600, 103

1. What is the LCM of 338, 968, 726, 600, 103?

Answer: LCM of 338, 968, 726, 600, 103 is 1263748200.

2. How to calculate the LCM of 338, 968, 726, 600, 103?

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 338, 968, 726, 600, 103.

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}.