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LCM of 560, 845, 869, 807

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


Find the LCM of 560, 845, 869, 807 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 560, 845, 869, 807. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 560,845,869,807

Given numbers are 560,845,869,807

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

The LCM of 560,845,869,807 is 66369423120.

Find LCM of 560,845,869,807 with Prime Factorization


5 560, 845, 869, 807
112, 169, 869, 807

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

5 x 112 x 169 x 869 x 807 = 66369423120

Therefore, the lowest common multiple of 560,845,869,807 is 66369423120.

LCM Formula to Find Lowest Common Multiple of 560,845,869,807

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.

560 x 845 x 869 x 807 = 331847115600

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.

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

845 : 1, 5, 13, 65, 169, 845

869 : 1, 11, 79, 869

807 : 1, 3, 269, 807

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,845,869,807, is 1.

Now, the common factors can be found like this.

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

845:5x 13x 13

869:11x 79

807:3x 269

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

5 = 5

Therefore, the value for common factors is 5.

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 = 331847115600/(1x5)

LCM = 331847115600/5

LCM = 66369423120

Thus, we can understand that the LCM of 560,845,869,807 is 66369423120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 560, 845, 869, 807

1. What is the LCM of 560, 845, 869, 807?

Answer: LCM of 560, 845, 869, 807 is 66369423120.

2. How to calculate the LCM of 560, 845, 869, 807?

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 560, 845, 869, 807.

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}.