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LCM of 785, 785, 232, 645

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


Find the LCM of 785, 785, 232, 645 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, 785, 232, 645. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 785,785,232,645

Given numbers are 785,785,232,645

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

The LCM of 785,785,232,645 is 23493480.

Find LCM of 785,785,232,645 with Prime Factorization


5 785, 785, 232, 645
157 157, 157, 232, 129
1, 1, 232, 129

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

5 x 157 x 1 x 1 x 232 x 129 = 23493480

Therefore, the lowest common multiple of 785,785,232,645 is 23493480.

LCM Formula to Find Lowest Common Multiple of 785,785,232,645

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 785 x 232 x 645 = 92211909000

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

785 : 1, 5, 157, 785

232 : 1, 2, 4, 8, 29, 58, 116, 232

645 : 1, 3, 5, 15, 43, 129, 215, 645

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,785,232,645, is 1.

Now, the common factors can be found like this.

785:5x 157

785:5x 157

232:2x 2x 2x 29

645:3x 5x 43

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

5x 5x 157 = 3925

Therefore, the value for common factors is 3925.

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 = 92211909000/(1x3925)

LCM = 92211909000/3925

LCM = 23493480

Thus, we can understand that the LCM of 785,785,232,645 is 23493480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 785, 785, 232, 645

1. What is the LCM of 785, 785, 232, 645?

Answer: LCM of 785, 785, 232, 645 is 23493480.

2. How to calculate the LCM of 785, 785, 232, 645?

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, 785, 232, 645.

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}.