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LCM of 754, 661, 531, 177

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


Find the LCM of 754, 661, 531, 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 754, 661, 531, 177. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 754,661,531,177

Given numbers are 754,661,531,177

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

The LCM of 754,661,531,177 is 264647214.

Find LCM of 754,661,531,177 with Prime Factorization


3 754, 661, 531, 177
59 754, 661, 177, 59
754, 661, 3, 1

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

3 x 59 x 754 x 661 x 3 x 1 = 264647214

Therefore, the lowest common multiple of 754,661,531,177 is 264647214.

LCM Formula to Find Lowest Common Multiple of 754,661,531,177

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.

754 x 661 x 531 x 177 = 46842556878

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.

754 : 1, 2, 13, 26, 29, 58, 377, 754

661 : 1, 661

531 : 1, 3, 9, 59, 177, 531

177 : 1, 3, 59, 177

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,661,531,177, is 1.

Now, the common factors can be found like this.

754:2x 13x 29

661:661

531:3x 3x 59

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.

3x 59 = 177

Therefore, the value for common factors is 177.

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 = 46842556878/(1x177)

LCM = 46842556878/177

LCM = 264647214

Thus, we can understand that the LCM of 754,661,531,177 is 264647214.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 754, 661, 531, 177

1. What is the LCM of 754, 661, 531, 177?

Answer: LCM of 754, 661, 531, 177 is 264647214.

2. How to calculate the LCM of 754, 661, 531, 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 754, 661, 531, 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}.