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LCM of 965, 340, 596, 225

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


Find the LCM of 965, 340, 596, 225 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 965, 340, 596, 225. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 965,340,596,225

Given numbers are 965,340,596,225

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

The LCM of 965,340,596,225 is 439982100.

Find LCM of 965,340,596,225 with Prime Factorization


2 965, 340, 596, 225
2 965, 170, 298, 225
5 965, 85, 149, 225
193, 17, 149, 45

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

2 x 2 x 5 x 193 x 17 x 149 x 45 = 439982100

Therefore, the lowest common multiple of 965,340,596,225 is 439982100.

LCM Formula to Find Lowest Common Multiple of 965,340,596,225

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.

965 x 340 x 596 x 225 = 43998210000

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.

965 : 1, 5, 193, 965

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

596 : 1, 2, 4, 149, 298, 596

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 965,340,596,225, is 1.

Now, the common factors can be found like this.

965:5x 193

340:2x 2x 5x 17

596:2x 2x 149

225:3x 3x 5x 5

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 5 = 100

Therefore, the value for common factors is 100.

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 = 43998210000/(1x100)

LCM = 43998210000/100

LCM = 439982100

Thus, we can understand that the LCM of 965,340,596,225 is 439982100.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 965, 340, 596, 225

1. What is the LCM of 965, 340, 596, 225?

Answer: LCM of 965, 340, 596, 225 is 439982100.

2. How to calculate the LCM of 965, 340, 596, 225?

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 965, 340, 596, 225.

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}.