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LCM of 158, 493, 889, 663, 271

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


Find the LCM of 158, 493, 889, 663, 271 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 158, 493, 889, 663, 271. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 158,493,889,663,271

Given numbers are 158,493,889,663,271

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

The LCM of 158,493,889,663,271 is 731879638854.

Find LCM of 158,493,889,663,271 with Prime Factorization


17 158, 493, 889, 663, 271
158, 29, 889, 39, 271

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

17 x 158 x 29 x 889 x 39 x 271 = 731879638854

Therefore, the lowest common multiple of 158,493,889,663,271 is 731879638854.

LCM Formula to Find Lowest Common Multiple of 158,493,889,663,271

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.

158 x 493 x 889 x 663 x 271 = 12441953860518

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.

158 : 1, 2, 79, 158

493 : 1, 17, 29, 493

889 : 1, 7, 127, 889

663 : 1, 3, 13, 17, 39, 51, 221, 663

271 : 1, 271

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 158,493,889,663,271, is 1.

Now, the common factors can be found like this.

158:2x 79

493:17x 29

889:7x 127

663:3x 13x 17

271:271

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

17 = 17

Therefore, the value for common factors is 17.

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 = 12441953860518/(1x17)

LCM = 12441953860518/17

LCM = 731879638854

Thus, we can understand that the LCM of 158,493,889,663,271 is 731879638854.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 158, 493, 889, 663, 271

1. What is the LCM of 158, 493, 889, 663, 271?

Answer: LCM of 158, 493, 889, 663, 271 is 731879638854.

2. How to calculate the LCM of 158, 493, 889, 663, 271?

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 158, 493, 889, 663, 271.

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}.