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LCM of 303, 762, 497, 786, 732

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


Find the LCM of 303, 762, 497, 786, 732 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 303, 762, 497, 786, 732. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 303,762,497,786,732

Given numbers are 303,762,497,786,732

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

The LCM of 303,762,497,786,732 is 611313321948.

Find LCM of 303,762,497,786,732 with Prime Factorization


2 303, 762, 497, 786, 732
3 303, 381, 497, 393, 366
101, 127, 497, 131, 122

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

2 x 3 x 101 x 127 x 497 x 131 x 122 = 611313321948

Therefore, the lowest common multiple of 303,762,497,786,732 is 611313321948.

LCM Formula to Find Lowest Common Multiple of 303,762,497,786,732

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.

303 x 762 x 497 x 786 x 732 = 66021838770384

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.

303 : 1, 3, 101, 303

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

497 : 1, 7, 71, 497

786 : 1, 2, 3, 6, 131, 262, 393, 786

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,762,497,786,732, is 1.

Now, the common factors can be found like this.

303:3x 101

762:2x 3x 127

497:7x 71

786:2x 3x 131

732:2x 2x 3x 61

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 66021838770384/(1x108)

LCM = 66021838770384/108

LCM = 611313321948

Thus, we can understand that the LCM of 303,762,497,786,732 is 611313321948.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 303, 762, 497, 786, 732

1. What is the LCM of 303, 762, 497, 786, 732?

Answer: LCM of 303, 762, 497, 786, 732 is 611313321948.

2. How to calculate the LCM of 303, 762, 497, 786, 732?

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 303, 762, 497, 786, 732.

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}.