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LCM of 785, 144, 560, 765

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


Find the LCM of 785, 144, 560, 765 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, 144, 560, 765. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 785,144,560,765

Given numbers are 785,144,560,765

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

The LCM of 785,144,560,765 is 13451760.

Find LCM of 785,144,560,765 with Prime Factorization


2 785, 144, 560, 765
2 785, 72, 280, 765
2 785, 36, 140, 765
2 785, 18, 70, 765
3 785, 9, 35, 765
3 785, 3, 35, 255
5 785, 1, 35, 85
157, 1, 7, 17

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

2 x 2 x 2 x 2 x 3 x 3 x 5 x 157 x 1 x 7 x 17 = 13451760

Therefore, the lowest common multiple of 785,144,560,765 is 13451760.

LCM Formula to Find Lowest Common Multiple of 785,144,560,765

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 144 x 560 x 765 = 48426336000

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

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,144,560,765, is 1.

Now, the common factors can be found like this.

785:5x 157

144:2x 2x 2x 2x 3x 3

560:2x 2x 2x 2x 5x 7

765:3x 3x 5x 17

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 2x 2x 3x 3x 5x 5 = 3600

Therefore, the value for common factors is 3600.

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 = 48426336000/(1x3600)

LCM = 48426336000/3600

LCM = 13451760

Thus, we can understand that the LCM of 785,144,560,765 is 13451760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 785, 144, 560, 765

1. What is the LCM of 785, 144, 560, 765?

Answer: LCM of 785, 144, 560, 765 is 13451760.

2. How to calculate the LCM of 785, 144, 560, 765?

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, 144, 560, 765.

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}.