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LCM of 856, 306, 293, 685, 327

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


Find the LCM of 856, 306, 293, 685, 327 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, 306, 293, 685, 327. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 856,306,293,685,327

Given numbers are 856,306,293,685,327

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

The LCM of 856,306,293,685,327 is 2865166635960.

Find LCM of 856,306,293,685,327 with Prime Factorization


2 856, 306, 293, 685, 327
3 428, 153, 293, 685, 327
428, 51, 293, 685, 109

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

2 x 3 x 428 x 51 x 293 x 685 x 109 = 2865166635960

Therefore, the lowest common multiple of 856,306,293,685,327 is 2865166635960.

LCM Formula to Find Lowest Common Multiple of 856,306,293,685,327

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 306 x 293 x 685 x 327 = 17190999815760

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

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

293 : 1, 293

685 : 1, 5, 137, 685

327 : 1, 3, 109, 327

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 856,306,293,685,327, is 1.

Now, the common factors can be found like this.

856:2x 2x 2x 107

306:2x 3x 3x 17

293:293

685:5x 137

327:3x 109

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 17190999815760/(1x6)

LCM = 17190999815760/6

LCM = 2865166635960

Thus, we can understand that the LCM of 856,306,293,685,327 is 2865166635960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 856, 306, 293, 685, 327

1. What is the LCM of 856, 306, 293, 685, 327?

Answer: LCM of 856, 306, 293, 685, 327 is 2865166635960.

2. How to calculate the LCM of 856, 306, 293, 685, 327?

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, 306, 293, 685, 327.

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}.