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LCM of 771, 952, 291, 265

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


Find the LCM of 771, 952, 291, 265 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 771, 952, 291, 265. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 771,952,291,265

Given numbers are 771,952,291,265

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

The LCM of 771,952,291,265 is 18867264360.

Find LCM of 771,952,291,265 with Prime Factorization


3 771, 952, 291, 265
257, 952, 97, 265

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

3 x 257 x 952 x 97 x 265 = 18867264360

Therefore, the lowest common multiple of 771,952,291,265 is 18867264360.

LCM Formula to Find Lowest Common Multiple of 771,952,291,265

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.

771 x 952 x 291 x 265 = 56601793080

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.

771 : 1, 3, 257, 771

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

291 : 1, 3, 97, 291

265 : 1, 5, 53, 265

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,952,291,265, is 1.

Now, the common factors can be found like this.

771:3x 257

952:2x 2x 2x 7x 17

291:3x 97

265:5x 53

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

3 = 3

Therefore, the value for common factors is 3.

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 = 56601793080/(1x3)

LCM = 56601793080/3

LCM = 18867264360

Thus, we can understand that the LCM of 771,952,291,265 is 18867264360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 771, 952, 291, 265

1. What is the LCM of 771, 952, 291, 265?

Answer: LCM of 771, 952, 291, 265 is 18867264360.

2. How to calculate the LCM of 771, 952, 291, 265?

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 771, 952, 291, 265.

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}.