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 289, 580, 153, 968, 425

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


Find the LCM of 289, 580, 153, 968, 425 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 289, 580, 153, 968, 425. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 289,580,153,968,425

Given numbers are 289,580,153,968,425

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

The LCM of 289,580,153,968,425 is 1825381800.

Find LCM of 289,580,153,968,425 with Prime Factorization


2 289, 580, 153, 968, 425
2 289, 290, 153, 484, 425
5 289, 145, 153, 242, 425
17 289, 29, 153, 242, 85
17, 29, 9, 242, 5

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

2 x 2 x 5 x 17 x 17 x 29 x 9 x 242 x 5 = 1825381800

Therefore, the lowest common multiple of 289,580,153,968,425 is 1825381800.

LCM Formula to Find Lowest Common Multiple of 289,580,153,968,425

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.

289 x 580 x 153 x 968 x 425 = 10550706804000

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.

289 : 1, 17, 289

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

153 : 1, 3, 9, 17, 51, 153

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

425 : 1, 5, 17, 25, 85, 425

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,580,153,968,425, is 1.

Now, the common factors can be found like this.

289:17x 17

580:2x 2x 5x 29

153:3x 3x 17

968:2x 2x 2x 11x 11

425:5x 5x 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 5x 17x 17 = 5780

Therefore, the value for common factors is 5780.

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 = 10550706804000/(1x5780)

LCM = 10550706804000/5780

LCM = 1825381800

Thus, we can understand that the LCM of 289,580,153,968,425 is 1825381800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 289, 580, 153, 968, 425

1. What is the LCM of 289, 580, 153, 968, 425?

Answer: LCM of 289, 580, 153, 968, 425 is 1825381800.

2. How to calculate the LCM of 289, 580, 153, 968, 425?

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 289, 580, 153, 968, 425.

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}.