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LCM of 731, 763, 763, 412

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


Find the LCM of 731, 763, 763, 412 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 731, 763, 763, 412. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 731,763,763,412

Given numbers are 731,763,763,412

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

The LCM of 731,763,763,412 is 229794236.

Find LCM of 731,763,763,412 with Prime Factorization


7 731, 763, 763, 412
109 731, 109, 109, 412
731, 1, 1, 412

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

7 x 109 x 731 x 1 x 1 x 412 = 229794236

Therefore, the lowest common multiple of 731,763,763,412 is 229794236.

LCM Formula to Find Lowest Common Multiple of 731,763,763,412

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.

731 x 763 x 763 x 412 = 175333002068

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.

731 : 1, 17, 43, 731

763 : 1, 7, 109, 763

763 : 1, 7, 109, 763

412 : 1, 2, 4, 103, 206, 412

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,763,763,412, is 1.

Now, the common factors can be found like this.

731:17x 43

763:7x 109

763:7x 109

412:2x 2x 103

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

7x 109 = 763

Therefore, the value for common factors is 763.

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 = 175333002068/(1x763)

LCM = 175333002068/763

LCM = 229794236

Thus, we can understand that the LCM of 731,763,763,412 is 229794236.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 731, 763, 763, 412

1. What is the LCM of 731, 763, 763, 412?

Answer: LCM of 731, 763, 763, 412 is 229794236.

2. How to calculate the LCM of 731, 763, 763, 412?

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 731, 763, 763, 412.

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}.