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LCM of 682, 786, 786, 218, 975

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


Find the LCM of 682, 786, 786, 218, 975 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 682, 786, 786, 218, 975. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 682,786,786,218,975

Given numbers are 682,786,786,218,975

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

The LCM of 682,786,786,218,975 is 9494821050.

Find LCM of 682,786,786,218,975 with Prime Factorization


2 682, 786, 786, 218, 975
3 341, 393, 393, 109, 975
131 341, 131, 131, 109, 325
341, 1, 1, 109, 325

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

2 x 3 x 131 x 341 x 1 x 1 x 109 x 325 = 9494821050

Therefore, the lowest common multiple of 682,786,786,218,975 is 9494821050.

LCM Formula to Find Lowest Common Multiple of 682,786,786,218,975

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.

682 x 786 x 786 x 218 x 975 = 89555152143600

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.

682 : 1, 2, 11, 22, 31, 62, 341, 682

786 : 1, 2, 3, 6, 131, 262, 393, 786

786 : 1, 2, 3, 6, 131, 262, 393, 786

218 : 1, 2, 109, 218

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,786,786,218,975, is 1.

Now, the common factors can be found like this.

682:2x 11x 31

786:2x 3x 131

786:2x 3x 131

218:2x 109

975:3x 5x 5x 13

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 3x 3x 131 = 9432

Therefore, the value for common factors is 9432.

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 = 89555152143600/(1x9432)

LCM = 89555152143600/9432

LCM = 9494821050

Thus, we can understand that the LCM of 682,786,786,218,975 is 9494821050.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 682, 786, 786, 218, 975

1. What is the LCM of 682, 786, 786, 218, 975?

Answer: LCM of 682, 786, 786, 218, 975 is 9494821050.

2. How to calculate the LCM of 682, 786, 786, 218, 975?

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 682, 786, 786, 218, 975.

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}.