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LCM of 495, 856, 110, 785

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


Find the LCM of 495, 856, 110, 785 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 495, 856, 110, 785. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 495,856,110,785

Given numbers are 495,856,110,785

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

The LCM of 495,856,110,785 is 66524040.

Find LCM of 495,856,110,785 with Prime Factorization


2 495, 856, 110, 785
5 495, 428, 55, 785
11 99, 428, 11, 157
9, 428, 1, 157

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

2 x 5 x 11 x 9 x 428 x 1 x 157 = 66524040

Therefore, the lowest common multiple of 495,856,110,785 is 66524040.

LCM Formula to Find Lowest Common Multiple of 495,856,110,785

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.

495 x 856 x 110 x 785 = 36588222000

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.

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

856 : 1, 2, 4, 8, 107, 214, 428, 856

110 : 1, 2, 5, 10, 11, 22, 55, 110

785 : 1, 5, 157, 785

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 495,856,110,785, is 1.

Now, the common factors can be found like this.

495:3x 3x 5x 11

856:2x 2x 2x 107

110:2x 5x 11

785:5x 157

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

2x 5x 5x 11 = 550

Therefore, the value for common factors is 550.

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 = 36588222000/(1x550)

LCM = 36588222000/550

LCM = 66524040

Thus, we can understand that the LCM of 495,856,110,785 is 66524040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 495, 856, 110, 785

1. What is the LCM of 495, 856, 110, 785?

Answer: LCM of 495, 856, 110, 785 is 66524040.

2. How to calculate the LCM of 495, 856, 110, 785?

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 495, 856, 110, 785.

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}.