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LCM of 194, 869, 869, 253

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


Find the LCM of 194, 869, 869, 253 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 194, 869, 869, 253. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 194,869,869,253

Given numbers are 194,869,869,253

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

The LCM of 194,869,869,253 is 3877478.

Find LCM of 194,869,869,253 with Prime Factorization


11 194, 869, 869, 253
79 194, 79, 79, 23
194, 1, 1, 23

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

11 x 79 x 194 x 1 x 1 x 23 = 3877478

Therefore, the lowest common multiple of 194,869,869,253 is 3877478.

LCM Formula to Find Lowest Common Multiple of 194,869,869,253

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.

194 x 869 x 869 x 253 = 37064812202

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.

194 : 1, 2, 97, 194

869 : 1, 11, 79, 869

869 : 1, 11, 79, 869

253 : 1, 11, 23, 253

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 194,869,869,253, is 1.

Now, the common factors can be found like this.

194:2x 97

869:11x 79

869:11x 79

253:11x 23

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

11x 11x 79 = 9559

Therefore, the value for common factors is 9559.

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 = 37064812202/(1x9559)

LCM = 37064812202/9559

LCM = 3877478

Thus, we can understand that the LCM of 194,869,869,253 is 3877478.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 194, 869, 869, 253

1. What is the LCM of 194, 869, 869, 253?

Answer: LCM of 194, 869, 869, 253 is 3877478.

2. How to calculate the LCM of 194, 869, 869, 253?

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 194, 869, 869, 253.

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}.