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LCM of 642, 709, 312

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


Find the LCM of 642, 709, 312 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 642, 709, 312. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 642,709,312

Given numbers are 642,709,312

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

The LCM of 642,709,312 is 23669256.

Find LCM of 642,709,312 with Prime Factorization


2 642, 709, 312
3 321, 709, 156
107, 709, 52

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

2 x 3 x 107 x 709 x 52 = 23669256

Therefore, the lowest common multiple of 642,709,312 is 23669256.

LCM Formula to Find Lowest Common Multiple of 642,709,312

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.

642 x 709 x 312 = 142015536

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.

642 : 1, 2, 3, 6, 107, 214, 321, 642

709 : 1, 709

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,709,312, is 1.

Now, the common factors can be found like this.

642:2x 3x 107

709:709

312:2x 2x 2x 3x 13

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 142015536/(1x6)

LCM = 142015536/6

LCM = 23669256

Thus, we can understand that the LCM of 642,709,312 is 23669256.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 642, 709, 312

1. What is the LCM of 642, 709, 312?

Answer: LCM of 642, 709, 312 is 23669256.

2. How to calculate the LCM of 642, 709, 312?

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 642, 709, 312.

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}.