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LCM of 541, 253, 614, 161, 889

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


Find the LCM of 541, 253, 614, 161, 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 541, 253, 614, 161, 889. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 541,253,614,161,889

Given numbers are 541,253,614,161,889

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

The LCM of 541,253,614,161,889 is 74711579558.

Find LCM of 541,253,614,161,889 with Prime Factorization


7 541, 253, 614, 161, 889
23 541, 253, 614, 23, 127
541, 11, 614, 1, 127

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

7 x 23 x 541 x 11 x 614 x 1 x 127 = 74711579558

Therefore, the lowest common multiple of 541,253,614,161,889 is 74711579558.

LCM Formula to Find Lowest Common Multiple of 541,253,614,161,889

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.

541 x 253 x 614 x 161 x 889 = 12028564308838

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.

541 : 1, 541

253 : 1, 11, 23, 253

614 : 1, 2, 307, 614

161 : 1, 7, 23, 161

889 : 1, 7, 127, 889

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 541,253,614,161,889, is 1.

Now, the common factors can be found like this.

541:541

253:11x 23

614:2x 307

161:7x 23

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.

7x 23 = 161

Therefore, the value for common factors is 161.

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 = 12028564308838/(1x161)

LCM = 12028564308838/161

LCM = 74711579558

Thus, we can understand that the LCM of 541,253,614,161,889 is 74711579558.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 541, 253, 614, 161, 889

1. What is the LCM of 541, 253, 614, 161, 889?

Answer: LCM of 541, 253, 614, 161, 889 is 74711579558.

2. How to calculate the LCM of 541, 253, 614, 161, 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 541, 253, 614, 161, 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}.