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LCM of 814, 254, 185, 712, 747

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


Find the LCM of 814, 254, 185, 712, 747 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 814, 254, 185, 712, 747. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 814,254,185,712,747

Given numbers are 814,254,185,712,747

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

The LCM of 814,254,185,712,747 is 137457591480.

Find LCM of 814,254,185,712,747 with Prime Factorization


2 814, 254, 185, 712, 747
37 407, 127, 185, 356, 747
11, 127, 5, 356, 747

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

2 x 37 x 11 x 127 x 5 x 356 x 747 = 137457591480

Therefore, the lowest common multiple of 814,254,185,712,747 is 137457591480.

LCM Formula to Find Lowest Common Multiple of 814,254,185,712,747

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.

814 x 254 x 185 x 712 x 747 = 20343723539040

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

254 : 1, 2, 127, 254

185 : 1, 5, 37, 185

712 : 1, 2, 4, 8, 89, 178, 356, 712

747 : 1, 3, 9, 83, 249, 747

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,254,185,712,747, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

254:2x 127

185:5x 37

712:2x 2x 2x 89

747:3x 3x 83

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 37 = 148

Therefore, the value for common factors is 148.

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 = 20343723539040/(1x148)

LCM = 20343723539040/148

LCM = 137457591480

Thus, we can understand that the LCM of 814,254,185,712,747 is 137457591480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 814, 254, 185, 712, 747

1. What is the LCM of 814, 254, 185, 712, 747?

Answer: LCM of 814, 254, 185, 712, 747 is 137457591480.

2. How to calculate the LCM of 814, 254, 185, 712, 747?

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 814, 254, 185, 712, 747.

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}.