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LCM of 296, 740, 767, 163, 177

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


Find the LCM of 296, 740, 767, 163, 177 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 296, 740, 767, 163, 177. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 296,740,767,163,177

Given numbers are 296,740,767,163,177

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

The LCM of 296,740,767,163,177 is 555093240.

Find LCM of 296,740,767,163,177 with Prime Factorization


2 296, 740, 767, 163, 177
2 148, 370, 767, 163, 177
37 74, 185, 767, 163, 177
59 2, 5, 767, 163, 177
2, 5, 13, 163, 3

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

2 x 2 x 37 x 59 x 2 x 5 x 13 x 163 x 3 = 555093240

Therefore, the lowest common multiple of 296,740,767,163,177 is 555093240.

LCM Formula to Find Lowest Common Multiple of 296,740,767,163,177

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.

296 x 740 x 767 x 163 x 177 = 4847074171680

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.

296 : 1, 2, 4, 8, 37, 74, 148, 296

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

767 : 1, 13, 59, 767

163 : 1, 163

177 : 1, 3, 59, 177

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,740,767,163,177, is 1.

Now, the common factors can be found like this.

296:2x 2x 2x 37

740:2x 2x 5x 37

767:13x 59

163:163

177:3x 59

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 37x 59 = 8732

Therefore, the value for common factors is 8732.

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 = 4847074171680/(1x8732)

LCM = 4847074171680/8732

LCM = 555093240

Thus, we can understand that the LCM of 296,740,767,163,177 is 555093240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 296, 740, 767, 163, 177

1. What is the LCM of 296, 740, 767, 163, 177?

Answer: LCM of 296, 740, 767, 163, 177 is 555093240.

2. How to calculate the LCM of 296, 740, 767, 163, 177?

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 296, 740, 767, 163, 177.

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}.