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LCM of 127, 565, 762, 872

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


Find the LCM of 127, 565, 762, 872 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 127, 565, 762, 872. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 127,565,762,872

Given numbers are 127,565,762,872

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

The LCM of 127,565,762,872 is 187711080.

Find LCM of 127,565,762,872 with Prime Factorization


2 127, 565, 762, 872
127 127, 565, 381, 436
1, 565, 3, 436

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

2 x 127 x 1 x 565 x 3 x 436 = 187711080

Therefore, the lowest common multiple of 127,565,762,872 is 187711080.

LCM Formula to Find Lowest Common Multiple of 127,565,762,872

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.

127 x 565 x 762 x 872 = 47678614320

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.

127 : 1, 127

565 : 1, 5, 113, 565

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

872 : 1, 2, 4, 8, 109, 218, 436, 872

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 127,565,762,872, is 1.

Now, the common factors can be found like this.

127:127

565:5x 113

762:2x 3x 127

872:2x 2x 2x 109

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 = 47678614320/(1x254)

LCM = 47678614320/254

LCM = 187711080

Thus, we can understand that the LCM of 127,565,762,872 is 187711080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 127, 565, 762, 872

1. What is the LCM of 127, 565, 762, 872?

Answer: LCM of 127, 565, 762, 872 is 187711080.

2. How to calculate the LCM of 127, 565, 762, 872?

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 127, 565, 762, 872.

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}.