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LCM of 985, 564, 741, 891, 754

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


Find the LCM of 985, 564, 741, 891, 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 985, 564, 741, 891, 754. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 985,564,741,891,754

Given numbers are 985,564,741,891,754

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

The LCM of 985,564,741,891,754 is 1181861906940.

Find LCM of 985,564,741,891,754 with Prime Factorization


2 985, 564, 741, 891, 754
3 985, 282, 741, 891, 377
13 985, 94, 247, 297, 377
985, 94, 19, 297, 29

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

2 x 3 x 13 x 985 x 94 x 19 x 297 x 29 = 1181861906940

Therefore, the lowest common multiple of 985,564,741,891,754 is 1181861906940.

LCM Formula to Find Lowest Common Multiple of 985,564,741,891,754

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.

985 x 564 x 741 x 891 x 754 = 276555686223960

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.

985 : 1, 5, 197, 985

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

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

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

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 985,564,741,891,754, is 1.

Now, the common factors can be found like this.

985:5x 197

564:2x 2x 3x 47

741:3x 13x 19

891:3x 3x 3x 3x 11

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 3x 3x 13 = 234

Therefore, the value for common factors is 234.

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 = 276555686223960/(1x234)

LCM = 276555686223960/234

LCM = 1181861906940

Thus, we can understand that the LCM of 985,564,741,891,754 is 1181861906940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 985, 564, 741, 891, 754

1. What is the LCM of 985, 564, 741, 891, 754?

Answer: LCM of 985, 564, 741, 891, 754 is 1181861906940.

2. How to calculate the LCM of 985, 564, 741, 891, 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 985, 564, 741, 891, 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}.