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LCM of 754, 665, 950, 343, 889

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


Find the LCM of 754, 665, 950, 343, 889 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, 665, 950, 343, 889. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 754,665,950,343,889

Given numbers are 754,665,950,343,889

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

The LCM of 754,665,950,343,889 is 15601372150.

Find LCM of 754,665,950,343,889 with Prime Factorization


2 754, 665, 950, 343, 889
5 377, 665, 475, 343, 889
7 377, 133, 95, 343, 889
19 377, 19, 95, 49, 127
377, 1, 5, 49, 127

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

2 x 5 x 7 x 19 x 377 x 1 x 5 x 49 x 127 = 15601372150

Therefore, the lowest common multiple of 754,665,950,343,889 is 15601372150.

LCM Formula to Find Lowest Common Multiple of 754,665,950,343,889

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 665 x 950 x 343 x 889 = 145248774716500

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

665 : 1, 5, 7, 19, 35, 95, 133, 665

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

343 : 1, 7, 49, 343

889 : 1, 7, 127, 889

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,665,950,343,889, is 1.

Now, the common factors can be found like this.

754:2x 13x 29

665:5x 7x 19

950:2x 5x 5x 19

343:7x 7x 7

889:7x 127

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

2x 5x 7x 7x 19 = 9310

Therefore, the value for common factors is 9310.

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 = 145248774716500/(1x9310)

LCM = 145248774716500/9310

LCM = 15601372150

Thus, we can understand that the LCM of 754,665,950,343,889 is 15601372150.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 754, 665, 950, 343, 889

1. What is the LCM of 754, 665, 950, 343, 889?

Answer: LCM of 754, 665, 950, 343, 889 is 15601372150.

2. How to calculate the LCM of 754, 665, 950, 343, 889?

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, 665, 950, 343, 889.

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}.