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LCM of 871, 254, 508, 365

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


Find the LCM of 871, 254, 508, 365 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 871, 254, 508, 365. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 871,254,508,365

Given numbers are 871,254,508,365

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

The LCM of 871,254,508,365 is 161500820.

Find LCM of 871,254,508,365 with Prime Factorization


2 871, 254, 508, 365
127 871, 127, 254, 365
871, 1, 2, 365

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

2 x 127 x 871 x 1 x 2 x 365 = 161500820

Therefore, the lowest common multiple of 871,254,508,365 is 161500820.

LCM Formula to Find Lowest Common Multiple of 871,254,508,365

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.

871 x 254 x 508 x 365 = 41021208280

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.

871 : 1, 13, 67, 871

254 : 1, 2, 127, 254

508 : 1, 2, 4, 127, 254, 508

365 : 1, 5, 73, 365

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 871,254,508,365, is 1.

Now, the common factors can be found like this.

871:13x 67

254:2x 127

508:2x 2x 127

365:5x 73

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

2x 127 = 254

Therefore, the value for common factors is 254.

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 = 41021208280/(1x254)

LCM = 41021208280/254

LCM = 161500820

Thus, we can understand that the LCM of 871,254,508,365 is 161500820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 871, 254, 508, 365

1. What is the LCM of 871, 254, 508, 365?

Answer: LCM of 871, 254, 508, 365 is 161500820.

2. How to calculate the LCM of 871, 254, 508, 365?

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 871, 254, 508, 365.

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}.