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LCM of 789, 276, 351, 322

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


Find the LCM of 789, 276, 351, 322 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 789, 276, 351, 322. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 789,276,351,322

Given numbers are 789,276,351,322

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

The LCM of 789,276,351,322 is 59449572.

Find LCM of 789,276,351,322 with Prime Factorization


2 789, 276, 351, 322
3 789, 138, 351, 161
23 263, 46, 117, 161
263, 2, 117, 7

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

2 x 3 x 23 x 263 x 2 x 117 x 7 = 59449572

Therefore, the lowest common multiple of 789,276,351,322 is 59449572.

LCM Formula to Find Lowest Common Multiple of 789,276,351,322

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.

789 x 276 x 351 x 322 = 24612122808

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.

789 : 1, 3, 263, 789

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

351 : 1, 3, 9, 13, 27, 39, 117, 351

322 : 1, 2, 7, 14, 23, 46, 161, 322

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,276,351,322, is 1.

Now, the common factors can be found like this.

789:3x 263

276:2x 2x 3x 23

351:3x 3x 3x 13

322:2x 7x 23

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

2x 3x 3x 23 = 414

Therefore, the value for common factors is 414.

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 = 24612122808/(1x414)

LCM = 24612122808/414

LCM = 59449572

Thus, we can understand that the LCM of 789,276,351,322 is 59449572.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 789, 276, 351, 322

1. What is the LCM of 789, 276, 351, 322?

Answer: LCM of 789, 276, 351, 322 is 59449572.

2. How to calculate the LCM of 789, 276, 351, 322?

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 789, 276, 351, 322.

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}.