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LCM of 741, 834, 174, 177, 928

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


Find the LCM of 741, 834, 174, 177, 928 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 741, 834, 174, 177, 928. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 741,834,174,177,928

Given numbers are 741,834,174,177,928

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

The LCM of 741,834,174,177,928 is 5639401248.

Find LCM of 741,834,174,177,928 with Prime Factorization


2 741, 834, 174, 177, 928
3 741, 417, 87, 177, 464
29 247, 139, 29, 59, 464
247, 139, 1, 59, 16

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

2 x 3 x 29 x 247 x 139 x 1 x 59 x 16 = 5639401248

Therefore, the lowest common multiple of 741,834,174,177,928 is 5639401248.

LCM Formula to Find Lowest Common Multiple of 741,834,174,177,928

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.

741 x 834 x 174 x 177 x 928 = 17662604708736

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.

741 : 1, 3, 13, 19, 39, 57, 247, 741

834 : 1, 2, 3, 6, 139, 278, 417, 834

174 : 1, 2, 3, 6, 29, 58, 87, 174

177 : 1, 3, 59, 177

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,834,174,177,928, is 1.

Now, the common factors can be found like this.

741:3x 13x 19

834:2x 3x 139

174:2x 3x 29

177:3x 59

928:2x 2x 2x 2x 2x 29

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 3x 3x 3x 29 = 3132

Therefore, the value for common factors is 3132.

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 = 17662604708736/(1x3132)

LCM = 17662604708736/3132

LCM = 5639401248

Thus, we can understand that the LCM of 741,834,174,177,928 is 5639401248.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 741, 834, 174, 177, 928

1. What is the LCM of 741, 834, 174, 177, 928?

Answer: LCM of 741, 834, 174, 177, 928 is 5639401248.

2. How to calculate the LCM of 741, 834, 174, 177, 928?

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 741, 834, 174, 177, 928.

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}.