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LCM of 771, 208, 961, 466, 754

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


Find the LCM of 771, 208, 961, 466, 754 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, 208, 961, 466, 754. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 771,208,961,466,754

Given numbers are 771,208,961,466,754

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

The LCM of 771,208,961,466,754 is 1041345919536.

Find LCM of 771,208,961,466,754 with Prime Factorization


2 771, 208, 961, 466, 754
13 771, 104, 961, 233, 377
771, 8, 961, 233, 29

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

2 x 13 x 771 x 8 x 961 x 233 x 29 = 1041345919536

Therefore, the lowest common multiple of 771,208,961,466,754 is 1041345919536.

LCM Formula to Find Lowest Common Multiple of 771,208,961,466,754

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 208 x 961 x 466 x 754 = 54149987815872

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

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

961 : 1, 31, 961

466 : 1, 2, 233, 466

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,208,961,466,754, is 1.

Now, the common factors can be found like this.

771:3x 257

208:2x 2x 2x 2x 13

961:31x 31

466:2x 233

754:2x 13x 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 13 = 52

Therefore, the value for common factors is 52.

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 = 54149987815872/(1x52)

LCM = 54149987815872/52

LCM = 1041345919536

Thus, we can understand that the LCM of 771,208,961,466,754 is 1041345919536.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 771, 208, 961, 466, 754

1. What is the LCM of 771, 208, 961, 466, 754?

Answer: LCM of 771, 208, 961, 466, 754 is 1041345919536.

2. How to calculate the LCM of 771, 208, 961, 466, 754?

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, 208, 961, 466, 754.

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}.