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LCM of 689, 237, 431, 143

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


Find the LCM of 689, 237, 431, 143 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 689, 237, 431, 143. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 689,237,431,143

Given numbers are 689,237,431,143

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

The LCM of 689,237,431,143 is 774172113.

Find LCM of 689,237,431,143 with Prime Factorization


13 689, 237, 431, 143
53, 237, 431, 11

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

13 x 53 x 237 x 431 x 11 = 774172113

Therefore, the lowest common multiple of 689,237,431,143 is 774172113.

LCM Formula to Find Lowest Common Multiple of 689,237,431,143

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.

689 x 237 x 431 x 143 = 10064237469

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.

689 : 1, 13, 53, 689

237 : 1, 3, 79, 237

431 : 1, 431

143 : 1, 11, 13, 143

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,237,431,143, is 1.

Now, the common factors can be found like this.

689:13x 53

237:3x 79

431:431

143:11x 13

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

13 = 13

Therefore, the value for common factors is 13.

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 = 10064237469/(1x13)

LCM = 10064237469/13

LCM = 774172113

Thus, we can understand that the LCM of 689,237,431,143 is 774172113.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 689, 237, 431, 143

1. What is the LCM of 689, 237, 431, 143?

Answer: LCM of 689, 237, 431, 143 is 774172113.

2. How to calculate the LCM of 689, 237, 431, 143?

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 689, 237, 431, 143.

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}.