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LCM of 496, 470, 410, 602, 785

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


Find the LCM of 496, 470, 410, 602, 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 496, 470, 410, 602, 785. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 496,470,410,602,785

Given numbers are 496,470,410,602,785

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

The LCM of 496,470,410,602,785 is 225839312720.

Find LCM of 496,470,410,602,785 with Prime Factorization


2 496, 470, 410, 602, 785
5 248, 235, 205, 301, 785
248, 47, 41, 301, 157

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

2 x 5 x 248 x 47 x 41 x 301 x 157 = 225839312720

Therefore, the lowest common multiple of 496,470,410,602,785 is 225839312720.

LCM Formula to Find Lowest Common Multiple of 496,470,410,602,785

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.

496 x 470 x 410 x 602 x 785 = 45167862544000

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.

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

470 : 1, 2, 5, 10, 47, 94, 235, 470

410 : 1, 2, 5, 10, 41, 82, 205, 410

602 : 1, 2, 7, 14, 43, 86, 301, 602

785 : 1, 5, 157, 785

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,470,410,602,785, is 1.

Now, the common factors can be found like this.

496:2x 2x 2x 2x 31

470:2x 5x 47

410:2x 5x 41

602:2x 7x 43

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 2x 2x 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 45167862544000/(1x200)

LCM = 45167862544000/200

LCM = 225839312720

Thus, we can understand that the LCM of 496,470,410,602,785 is 225839312720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 496, 470, 410, 602, 785

1. What is the LCM of 496, 470, 410, 602, 785?

Answer: LCM of 496, 470, 410, 602, 785 is 225839312720.

2. How to calculate the LCM of 496, 470, 410, 602, 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 496, 470, 410, 602, 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}.