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LCM of 315, 403, 876, 856, 782

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


Find the LCM of 315, 403, 876, 856, 782 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 315, 403, 876, 856, 782. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 315,403,876,856,782

Given numbers are 315,403,876,856,782

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

The LCM of 315,403,876,856,782 is 3101622811560.

Find LCM of 315,403,876,856,782 with Prime Factorization


2 315, 403, 876, 856, 782
2 315, 403, 438, 428, 391
3 315, 403, 219, 214, 391
105, 403, 73, 214, 391

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

2 x 2 x 3 x 105 x 403 x 73 x 214 x 391 = 3101622811560

Therefore, the lowest common multiple of 315,403,876,856,782 is 3101622811560.

LCM Formula to Find Lowest Common Multiple of 315,403,876,856,782

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.

315 x 403 x 876 x 856 x 782 = 74438947477440

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.

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

403 : 1, 13, 31, 403

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

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

782 : 1, 2, 17, 23, 34, 46, 391, 782

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,403,876,856,782, is 1.

Now, the common factors can be found like this.

315:3x 3x 5x 7

403:13x 31

876:2x 2x 3x 73

856:2x 2x 2x 107

782:2x 17x 23

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 3 = 24

Therefore, the value for common factors is 24.

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 = 74438947477440/(1x24)

LCM = 74438947477440/24

LCM = 3101622811560

Thus, we can understand that the LCM of 315,403,876,856,782 is 3101622811560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 315, 403, 876, 856, 782

1. What is the LCM of 315, 403, 876, 856, 782?

Answer: LCM of 315, 403, 876, 856, 782 is 3101622811560.

2. How to calculate the LCM of 315, 403, 876, 856, 782?

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 315, 403, 876, 856, 782.

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}.