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LCM of 189, 967, 358, 772

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


Find the LCM of 189, 967, 358, 772 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 189, 967, 358, 772. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 189,967,358,772

Given numbers are 189,967,358,772

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

The LCM of 189,967,358,772 is 25255653444.

Find LCM of 189,967,358,772 with Prime Factorization


2 189, 967, 358, 772
189, 967, 179, 386

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

2 x 189 x 967 x 179 x 386 = 25255653444

Therefore, the lowest common multiple of 189,967,358,772 is 25255653444.

LCM Formula to Find Lowest Common Multiple of 189,967,358,772

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.

189 x 967 x 358 x 772 = 50511306888

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.

189 : 1, 3, 7, 9, 21, 27, 63, 189

967 : 1, 967

358 : 1, 2, 179, 358

772 : 1, 2, 4, 193, 386, 772

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,967,358,772, is 1.

Now, the common factors can be found like this.

189:3x 3x 3x 7

967:967

358:2x 179

772:2x 2x 193

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

2 = 2

Therefore, the value for common factors is 2.

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 = 50511306888/(1x2)

LCM = 50511306888/2

LCM = 25255653444

Thus, we can understand that the LCM of 189,967,358,772 is 25255653444.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 189, 967, 358, 772

1. What is the LCM of 189, 967, 358, 772?

Answer: LCM of 189, 967, 358, 772 is 25255653444.

2. How to calculate the LCM of 189, 967, 358, 772?

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 189, 967, 358, 772.

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}.