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LCM of 737, 212, 583, 700

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


Find the LCM of 737, 212, 583, 700 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, 212, 583, 700. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 737,212,583,700

Given numbers are 737,212,583,700

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

The LCM of 737,212,583,700 is 27342700.

Find LCM of 737,212,583,700 with Prime Factorization


2 737, 212, 583, 700
2 737, 106, 583, 350
11 737, 53, 583, 175
53 67, 53, 53, 175
67, 1, 1, 175

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

2 x 2 x 11 x 53 x 67 x 1 x 1 x 175 = 27342700

Therefore, the lowest common multiple of 737,212,583,700 is 27342700.

LCM Formula to Find Lowest Common Multiple of 737,212,583,700

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 212 x 583 x 700 = 63763176400

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

212 : 1, 2, 4, 53, 106, 212

583 : 1, 11, 53, 583

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,212,583,700, is 1.

Now, the common factors can be found like this.

737:11x 67

212:2x 2x 53

583:11x 53

700:2x 2x 5x 5x 7

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 11x 53 = 2332

Therefore, the value for common factors is 2332.

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 = 63763176400/(1x2332)

LCM = 63763176400/2332

LCM = 27342700

Thus, we can understand that the LCM of 737,212,583,700 is 27342700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 737, 212, 583, 700

1. What is the LCM of 737, 212, 583, 700?

Answer: LCM of 737, 212, 583, 700 is 27342700.

2. How to calculate the LCM of 737, 212, 583, 700?

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, 212, 583, 700.

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}.