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LCM of 785, 105, 340, 964

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


Find the LCM of 785, 105, 340, 964 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 785, 105, 340, 964. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 785,105,340,964

Given numbers are 785,105,340,964

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

The LCM of 785,105,340,964 is 270156180.

Find LCM of 785,105,340,964 with Prime Factorization


2 785, 105, 340, 964
2 785, 105, 170, 482
5 785, 105, 85, 241
157, 21, 17, 241

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

2 x 2 x 5 x 157 x 21 x 17 x 241 = 270156180

Therefore, the lowest common multiple of 785,105,340,964 is 270156180.

LCM Formula to Find Lowest Common Multiple of 785,105,340,964

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.

785 x 105 x 340 x 964 = 27015618000

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.

785 : 1, 5, 157, 785

105 : 1, 3, 5, 7, 15, 21, 35, 105

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

964 : 1, 2, 4, 241, 482, 964

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,105,340,964, is 1.

Now, the common factors can be found like this.

785:5x 157

105:3x 5x 7

340:2x 2x 5x 17

964:2x 2x 241

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 = 27015618000/(1x100)

LCM = 27015618000/100

LCM = 270156180

Thus, we can understand that the LCM of 785,105,340,964 is 270156180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 785, 105, 340, 964

1. What is the LCM of 785, 105, 340, 964?

Answer: LCM of 785, 105, 340, 964 is 270156180.

2. How to calculate the LCM of 785, 105, 340, 964?

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 785, 105, 340, 964.

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}.