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LCM of 757, 286, 325, 269

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


Find the LCM of 757, 286, 325, 269 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 757, 286, 325, 269. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 757,286,325,269

Given numbers are 757,286,325,269

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

The LCM of 757,286,325,269 is 1455975950.

Find LCM of 757,286,325,269 with Prime Factorization


13 757, 286, 325, 269
757, 22, 25, 269

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

13 x 757 x 22 x 25 x 269 = 1455975950

Therefore, the lowest common multiple of 757,286,325,269 is 1455975950.

LCM Formula to Find Lowest Common Multiple of 757,286,325,269

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.

757 x 286 x 325 x 269 = 18927687350

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.

757 : 1, 757

286 : 1, 2, 11, 13, 22, 26, 143, 286

325 : 1, 5, 13, 25, 65, 325

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 757,286,325,269, is 1.

Now, the common factors can be found like this.

757:757

286:2x 11x 13

325:5x 5x 13

269:269

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

13 = 13

Therefore, the value for common factors is 13.

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 = 18927687350/(1x13)

LCM = 18927687350/13

LCM = 1455975950

Thus, we can understand that the LCM of 757,286,325,269 is 1455975950.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 757, 286, 325, 269

1. What is the LCM of 757, 286, 325, 269?

Answer: LCM of 757, 286, 325, 269 is 1455975950.

2. How to calculate the LCM of 757, 286, 325, 269?

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 757, 286, 325, 269.

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}.