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LCM of 763, 296, 506

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


Find the LCM of 763, 296, 506 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 763, 296, 506. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 763,296,506

Given numbers are 763,296,506

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

The LCM of 763,296,506 is 57139544.

Find LCM of 763,296,506 with Prime Factorization


2 763, 296, 506
763, 148, 253

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

2 x 763 x 148 x 253 = 57139544

Therefore, the lowest common multiple of 763,296,506 is 57139544.

LCM Formula to Find Lowest Common Multiple of 763,296,506

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.

763 x 296 x 506 = 114279088

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.

763 : 1, 7, 109, 763

296 : 1, 2, 4, 8, 37, 74, 148, 296

506 : 1, 2, 11, 22, 23, 46, 253, 506

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 763,296,506, is 1.

Now, the common factors can be found like this.

763:7x 109

296:2x 2x 2x 37

506:2x 11x 23

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

2 = 2

Therefore, the value for common factors is 2.

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 = 114279088/(1x2)

LCM = 114279088/2

LCM = 57139544

Thus, we can understand that the LCM of 763,296,506 is 57139544.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 763, 296, 506

1. What is the LCM of 763, 296, 506?

Answer: LCM of 763, 296, 506 is 57139544.

2. How to calculate the LCM of 763, 296, 506?

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 763, 296, 506.

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}.