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LCM of 737, 496, 963, 318

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


Find the LCM of 737, 496, 963, 318 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 737, 496, 963, 318. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 737,496,963,318

Given numbers are 737,496,963,318

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

The LCM of 737,496,963,318 is 18657408528.

Find LCM of 737,496,963,318 with Prime Factorization


2 737, 496, 963, 318
3 737, 248, 963, 159
737, 248, 321, 53

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

2 x 3 x 737 x 248 x 321 x 53 = 18657408528

Therefore, the lowest common multiple of 737,496,963,318 is 18657408528.

LCM Formula to Find Lowest Common Multiple of 737,496,963,318

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.

737 x 496 x 963 x 318 = 111944451168

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.

737 : 1, 11, 67, 737

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

963 : 1, 3, 9, 107, 321, 963

318 : 1, 2, 3, 6, 53, 106, 159, 318

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,496,963,318, is 1.

Now, the common factors can be found like this.

737:11x 67

496:2x 2x 2x 2x 31

963:3x 3x 107

318:2x 3x 53

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 111944451168/(1x6)

LCM = 111944451168/6

LCM = 18657408528

Thus, we can understand that the LCM of 737,496,963,318 is 18657408528.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 737, 496, 963, 318

1. What is the LCM of 737, 496, 963, 318?

Answer: LCM of 737, 496, 963, 318 is 18657408528.

2. How to calculate the LCM of 737, 496, 963, 318?

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 737, 496, 963, 318.

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}.