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LCM of 545, 402, 737, 178

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


Find the LCM of 545, 402, 737, 178 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 545, 402, 737, 178. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 545,402,737,178

Given numbers are 545,402,737,178

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

The LCM of 545,402,737,178 is 214489110.

Find LCM of 545,402,737,178 with Prime Factorization


2 545, 402, 737, 178
67 545, 201, 737, 89
545, 3, 11, 89

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

2 x 67 x 545 x 3 x 11 x 89 = 214489110

Therefore, the lowest common multiple of 545,402,737,178 is 214489110.

LCM Formula to Find Lowest Common Multiple of 545,402,737,178

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.

545 x 402 x 737 x 178 = 28741540740

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.

545 : 1, 5, 109, 545

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

737 : 1, 11, 67, 737

178 : 1, 2, 89, 178

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 545,402,737,178, is 1.

Now, the common factors can be found like this.

545:5x 109

402:2x 3x 67

737:11x 67

178:2x 89

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 = 28741540740/(1x134)

LCM = 28741540740/134

LCM = 214489110

Thus, we can understand that the LCM of 545,402,737,178 is 214489110.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 545, 402, 737, 178

1. What is the LCM of 545, 402, 737, 178?

Answer: LCM of 545, 402, 737, 178 is 214489110.

2. How to calculate the LCM of 545, 402, 737, 178?

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 545, 402, 737, 178.

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}.