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 575, 495, 253, 968, 129

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


Find the LCM of 575, 495, 253, 968, 129 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 575, 495, 253, 968, 129. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 575,495,253,968,129

Given numbers are 575,495,253,968,129

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

The LCM of 575,495,253,968,129 is 215404200.

Find LCM of 575,495,253,968,129 with Prime Factorization


3 575, 495, 253, 968, 129
5 575, 165, 253, 968, 43
11 115, 33, 253, 968, 43
23 115, 3, 23, 88, 43
5, 3, 1, 88, 43

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

3 x 5 x 11 x 23 x 5 x 3 x 1 x 88 x 43 = 215404200

Therefore, the lowest common multiple of 575,495,253,968,129 is 215404200.

LCM Formula to Find Lowest Common Multiple of 575,495,253,968,129

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.

575 x 495 x 253 x 968 x 129 = 8992048329000

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.

575 : 1, 5, 23, 25, 115, 575

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

253 : 1, 11, 23, 253

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

129 : 1, 3, 43, 129

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 575,495,253,968,129, is 1.

Now, the common factors can be found like this.

575:5x 5x 23

495:3x 3x 5x 11

253:11x 23

968:2x 2x 2x 11x 11

129:3x 43

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

3x 5x 11x 11x 23 = 41745

Therefore, the value for common factors is 41745.

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 = 8992048329000/(1x41745)

LCM = 8992048329000/41745

LCM = 215404200

Thus, we can understand that the LCM of 575,495,253,968,129 is 215404200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 575, 495, 253, 968, 129

1. What is the LCM of 575, 495, 253, 968, 129?

Answer: LCM of 575, 495, 253, 968, 129 is 215404200.

2. How to calculate the LCM of 575, 495, 253, 968, 129?

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 575, 495, 253, 968, 129.

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}.