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LCM of 686, 158, 941, 941, 230

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


Find the LCM of 686, 158, 941, 941, 230 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 686, 158, 941, 941, 230. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 686,158,941,941,230

Given numbers are 686,158,941,941,230

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

The LCM of 686,158,941,941,230 is 5864603710.

Find LCM of 686,158,941,941,230 with Prime Factorization


2 686, 158, 941, 941, 230
941 343, 79, 941, 941, 115
343, 79, 1, 1, 115

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

2 x 941 x 343 x 79 x 1 x 1 x 115 = 5864603710

Therefore, the lowest common multiple of 686,158,941,941,230 is 5864603710.

LCM Formula to Find Lowest Common Multiple of 686,158,941,941,230

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.

686 x 158 x 941 x 941 x 230 = 22074368364440

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.

686 : 1, 2, 7, 14, 49, 98, 343, 686

158 : 1, 2, 79, 158

941 : 1, 941

941 : 1, 941

230 : 1, 2, 5, 10, 23, 46, 115, 230

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 686,158,941,941,230, is 1.

Now, the common factors can be found like this.

686:2x 7x 7x 7

158:2x 79

941:941

941:941

230:2x 5x 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 941 = 3764

Therefore, the value for common factors is 3764.

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 = 22074368364440/(1x3764)

LCM = 22074368364440/3764

LCM = 5864603710

Thus, we can understand that the LCM of 686,158,941,941,230 is 5864603710.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 686, 158, 941, 941, 230

1. What is the LCM of 686, 158, 941, 941, 230?

Answer: LCM of 686, 158, 941, 941, 230 is 5864603710.

2. How to calculate the LCM of 686, 158, 941, 941, 230?

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 686, 158, 941, 941, 230.

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}.