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LCM of 981, 334, 361, 754, 769

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


Find the LCM of 981, 334, 361, 754, 769 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 981, 334, 361, 754, 769. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 981,334,361,754,769

Given numbers are 981,334,361,754,769

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

The LCM of 981,334,361,754,769 is 34291806630822.

Find LCM of 981,334,361,754,769 with Prime Factorization


2 981, 334, 361, 754, 769
981, 167, 361, 377, 769

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

2 x 981 x 167 x 361 x 377 x 769 = 34291806630822

Therefore, the lowest common multiple of 981,334,361,754,769 is 34291806630822.

LCM Formula to Find Lowest Common Multiple of 981,334,361,754,769

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.

981 x 334 x 361 x 754 x 769 = 68583613261644

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.

981 : 1, 3, 9, 109, 327, 981

334 : 1, 2, 167, 334

361 : 1, 19, 361

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

769 : 1, 769

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 981,334,361,754,769, is 1.

Now, the common factors can be found like this.

981:3x 3x 109

334:2x 167

361:19x 19

754:2x 13x 29

769:769

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

2 = 2

Therefore, the value for common factors is 2.

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 = 68583613261644/(1x2)

LCM = 68583613261644/2

LCM = 34291806630822

Thus, we can understand that the LCM of 981,334,361,754,769 is 34291806630822.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 981, 334, 361, 754, 769

1. What is the LCM of 981, 334, 361, 754, 769?

Answer: LCM of 981, 334, 361, 754, 769 is 34291806630822.

2. How to calculate the LCM of 981, 334, 361, 754, 769?

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 981, 334, 361, 754, 769.

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}.