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LCM of 762, 871, 242, 242

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


Find the LCM of 762, 871, 242, 242 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 762, 871, 242, 242. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 762,871,242,242

Given numbers are 762,871,242,242

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

The LCM of 762,871,242,242 is 80307942.

Find LCM of 762,871,242,242 with Prime Factorization


2 762, 871, 242, 242
11 381, 871, 121, 121
11 381, 871, 11, 11
381, 871, 1, 1

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

2 x 11 x 11 x 381 x 871 x 1 x 1 = 80307942

Therefore, the lowest common multiple of 762,871,242,242 is 80307942.

LCM Formula to Find Lowest Common Multiple of 762,871,242,242

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.

762 x 871 x 242 x 242 = 38869043928

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.

762 : 1, 2, 3, 6, 127, 254, 381, 762

871 : 1, 13, 67, 871

242 : 1, 2, 11, 22, 121, 242

242 : 1, 2, 11, 22, 121, 242

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,871,242,242, is 1.

Now, the common factors can be found like this.

762:2x 3x 127

871:13x 67

242:2x 11x 11

242:2x 11x 11

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

2x 2x 11x 11 = 484

Therefore, the value for common factors is 484.

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 = 38869043928/(1x484)

LCM = 38869043928/484

LCM = 80307942

Thus, we can understand that the LCM of 762,871,242,242 is 80307942.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 762, 871, 242, 242

1. What is the LCM of 762, 871, 242, 242?

Answer: LCM of 762, 871, 242, 242 is 80307942.

2. How to calculate the LCM of 762, 871, 242, 242?

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 762, 871, 242, 242.

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}.