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LCM of 114, 956, 184, 561

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


Find the LCM of 114, 956, 184, 561 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 114, 956, 184, 561. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 114,956,184,561

Given numbers are 114,956,184,561

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

The LCM of 114,956,184,561 is 468740184.

Find LCM of 114,956,184,561 with Prime Factorization


2 114, 956, 184, 561
2 57, 478, 92, 561
3 57, 239, 46, 561
19, 239, 46, 187

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

2 x 2 x 3 x 19 x 239 x 46 x 187 = 468740184

Therefore, the lowest common multiple of 114,956,184,561 is 468740184.

LCM Formula to Find Lowest Common Multiple of 114,956,184,561

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.

114 x 956 x 184 x 561 = 11249764416

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.

114 : 1, 2, 3, 6, 19, 38, 57, 114

956 : 1, 2, 4, 239, 478, 956

184 : 1, 2, 4, 8, 23, 46, 92, 184

561 : 1, 3, 11, 17, 33, 51, 187, 561

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,956,184,561, is 1.

Now, the common factors can be found like this.

114:2x 3x 19

956:2x 2x 239

184:2x 2x 2x 23

561:3x 11x 17

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 = 11249764416/(1x24)

LCM = 11249764416/24

LCM = 468740184

Thus, we can understand that the LCM of 114,956,184,561 is 468740184.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 114, 956, 184, 561

1. What is the LCM of 114, 956, 184, 561?

Answer: LCM of 114, 956, 184, 561 is 468740184.

2. How to calculate the LCM of 114, 956, 184, 561?

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 114, 956, 184, 561.

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}.