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LCM of 995, 238, 153, 268

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


Find the LCM of 995, 238, 153, 268 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 995, 238, 153, 268. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 995,238,153,268

Given numbers are 995,238,153,268

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

The LCM of 995,238,153,268 is 285592860.

Find LCM of 995,238,153,268 with Prime Factorization


2 995, 238, 153, 268
17 995, 119, 153, 134
995, 7, 9, 134

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

2 x 17 x 995 x 7 x 9 x 134 = 285592860

Therefore, the lowest common multiple of 995,238,153,268 is 285592860.

LCM Formula to Find Lowest Common Multiple of 995,238,153,268

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.

995 x 238 x 153 x 268 = 9710157240

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.

995 : 1, 5, 199, 995

238 : 1, 2, 7, 14, 17, 34, 119, 238

153 : 1, 3, 9, 17, 51, 153

268 : 1, 2, 4, 67, 134, 268

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 995,238,153,268, is 1.

Now, the common factors can be found like this.

995:5x 199

238:2x 7x 17

153:3x 3x 17

268:2x 2x 67

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 9710157240/(1x34)

LCM = 9710157240/34

LCM = 285592860

Thus, we can understand that the LCM of 995,238,153,268 is 285592860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 995, 238, 153, 268

1. What is the LCM of 995, 238, 153, 268?

Answer: LCM of 995, 238, 153, 268 is 285592860.

2. How to calculate the LCM of 995, 238, 153, 268?

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 995, 238, 153, 268.

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}.