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LCM of 167, 424, 389, 402, 737

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


Find the LCM of 167, 424, 389, 402, 737 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 167, 424, 389, 402, 737. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 167,424,389,402,737

Given numbers are 167,424,389,402,737

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

The LCM of 167,424,389,402,737 is 60900473832.

Find LCM of 167,424,389,402,737 with Prime Factorization


2 167, 424, 389, 402, 737
67 167, 212, 389, 201, 737
167, 212, 389, 3, 11

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

2 x 67 x 167 x 212 x 389 x 3 x 11 = 60900473832

Therefore, the lowest common multiple of 167,424,389,402,737 is 60900473832.

LCM Formula to Find Lowest Common Multiple of 167,424,389,402,737

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.

167 x 424 x 389 x 402 x 737 = 8160663493488

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.

167 : 1, 167

424 : 1, 2, 4, 8, 53, 106, 212, 424

389 : 1, 389

402 : 1, 2, 3, 6, 67, 134, 201, 402

737 : 1, 11, 67, 737

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 167,424,389,402,737, is 1.

Now, the common factors can be found like this.

167:167

424:2x 2x 2x 53

389:389

402:2x 3x 67

737:11x 67

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

2x 67 = 134

Therefore, the value for common factors is 134.

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 = 8160663493488/(1x134)

LCM = 8160663493488/134

LCM = 60900473832

Thus, we can understand that the LCM of 167,424,389,402,737 is 60900473832.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 167, 424, 389, 402, 737

1. What is the LCM of 167, 424, 389, 402, 737?

Answer: LCM of 167, 424, 389, 402, 737 is 60900473832.

2. How to calculate the LCM of 167, 424, 389, 402, 737?

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 167, 424, 389, 402, 737.

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}.