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LCM of 856, 317, 749, 215

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


Find the LCM of 856, 317, 749, 215 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 856, 317, 749, 215. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 856,317,749,215

Given numbers are 856,317,749,215

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

The LCM of 856,317,749,215 is 408384760.

Find LCM of 856,317,749,215 with Prime Factorization


107 856, 317, 749, 215
8, 317, 7, 215

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

107 x 8 x 317 x 7 x 215 = 408384760

Therefore, the lowest common multiple of 856,317,749,215 is 408384760.

LCM Formula to Find Lowest Common Multiple of 856,317,749,215

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.

856 x 317 x 749 x 215 = 43697169320

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.

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

317 : 1, 317

749 : 1, 7, 107, 749

215 : 1, 5, 43, 215

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 856,317,749,215, is 1.

Now, the common factors can be found like this.

856:2x 2x 2x 107

317:317

749:7x 107

215:5x 43

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

107 = 107

Therefore, the value for common factors is 107.

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 = 43697169320/(1x107)

LCM = 43697169320/107

LCM = 408384760

Thus, we can understand that the LCM of 856,317,749,215 is 408384760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 856, 317, 749, 215

1. What is the LCM of 856, 317, 749, 215?

Answer: LCM of 856, 317, 749, 215 is 408384760.

2. How to calculate the LCM of 856, 317, 749, 215?

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 856, 317, 749, 215.

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}.