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LCM of 607, 182, 923, 268

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


Find the LCM of 607, 182, 923, 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 607, 182, 923, 268. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 607,182,923,268

Given numbers are 607,182,923,268

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

The LCM of 607,182,923,268 is 1051049636.

Find LCM of 607,182,923,268 with Prime Factorization


2 607, 182, 923, 268
13 607, 91, 923, 134
607, 7, 71, 134

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

2 x 13 x 607 x 7 x 71 x 134 = 1051049636

Therefore, the lowest common multiple of 607,182,923,268 is 1051049636.

LCM Formula to Find Lowest Common Multiple of 607,182,923,268

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.

607 x 182 x 923 x 268 = 27327290536

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.

607 : 1, 607

182 : 1, 2, 7, 13, 14, 26, 91, 182

923 : 1, 13, 71, 923

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 607,182,923,268, is 1.

Now, the common factors can be found like this.

607:607

182:2x 7x 13

923:13x 71

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 13 = 26

Therefore, the value for common factors is 26.

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 = 27327290536/(1x26)

LCM = 27327290536/26

LCM = 1051049636

Thus, we can understand that the LCM of 607,182,923,268 is 1051049636.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 607, 182, 923, 268

1. What is the LCM of 607, 182, 923, 268?

Answer: LCM of 607, 182, 923, 268 is 1051049636.

2. How to calculate the LCM of 607, 182, 923, 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 607, 182, 923, 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}.