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LCM of 737, 737, 642, 988

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


Find the LCM of 737, 737, 642, 988 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, 737, 642, 988. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 737,737,642,988

Given numbers are 737,737,642,988

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

The LCM of 737,737,642,988 is 233738076.

Find LCM of 737,737,642,988 with Prime Factorization


2 737, 737, 642, 988
11 737, 737, 321, 494
67 67, 67, 321, 494
1, 1, 321, 494

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

2 x 11 x 67 x 1 x 1 x 321 x 494 = 233738076

Therefore, the lowest common multiple of 737,737,642,988 is 233738076.

LCM Formula to Find Lowest Common Multiple of 737,737,642,988

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 737 x 642 x 988 = 344529924024

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

737 : 1, 11, 67, 737

642 : 1, 2, 3, 6, 107, 214, 321, 642

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,737,642,988, is 1.

Now, the common factors can be found like this.

737:11x 67

737:11x 67

642:2x 3x 107

988:2x 2x 13x 19

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

2x 11x 67 = 1474

Therefore, the value for common factors is 1474.

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 = 344529924024/(1x1474)

LCM = 344529924024/1474

LCM = 233738076

Thus, we can understand that the LCM of 737,737,642,988 is 233738076.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 737, 737, 642, 988

1. What is the LCM of 737, 737, 642, 988?

Answer: LCM of 737, 737, 642, 988 is 233738076.

2. How to calculate the LCM of 737, 737, 642, 988?

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, 737, 642, 988.

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}.