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LCM of 421, 318, 689, 309

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


Find the LCM of 421, 318, 689, 309 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 421, 318, 689, 309. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 421,318,689,309

Given numbers are 421,318,689,309

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

The LCM of 421,318,689,309 is 179262642.

Find LCM of 421,318,689,309 with Prime Factorization


3 421, 318, 689, 309
53 421, 106, 689, 103
421, 2, 13, 103

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

3 x 53 x 421 x 2 x 13 x 103 = 179262642

Therefore, the lowest common multiple of 421,318,689,309 is 179262642.

LCM Formula to Find Lowest Common Multiple of 421,318,689,309

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.

421 x 318 x 689 x 309 = 28502760078

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.

421 : 1, 421

318 : 1, 2, 3, 6, 53, 106, 159, 318

689 : 1, 13, 53, 689

309 : 1, 3, 103, 309

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,318,689,309, is 1.

Now, the common factors can be found like this.

421:421

318:2x 3x 53

689:13x 53

309:3x 103

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

3x 53 = 159

Therefore, the value for common factors is 159.

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 = 28502760078/(1x159)

LCM = 28502760078/159

LCM = 179262642

Thus, we can understand that the LCM of 421,318,689,309 is 179262642.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 421, 318, 689, 309

1. What is the LCM of 421, 318, 689, 309?

Answer: LCM of 421, 318, 689, 309 is 179262642.

2. How to calculate the LCM of 421, 318, 689, 309?

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 421, 318, 689, 309.

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}.