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LCM of 671, 554, 296, 473, 638

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


Find the LCM of 671, 554, 296, 473, 638 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 671, 554, 296, 473, 638. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 671,554,296,473,638

Given numbers are 671,554,296,473,638

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

The LCM of 671,554,296,473,638 is 68605740104.

Find LCM of 671,554,296,473,638 with Prime Factorization


2 671, 554, 296, 473, 638
11 671, 277, 148, 473, 319
61, 277, 148, 43, 29

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

2 x 11 x 61 x 277 x 148 x 43 x 29 = 68605740104

Therefore, the lowest common multiple of 671,554,296,473,638 is 68605740104.

LCM Formula to Find Lowest Common Multiple of 671,554,296,473,638

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.

671 x 554 x 296 x 473 x 638 = 33205178210336

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.

671 : 1, 11, 61, 671

554 : 1, 2, 277, 554

296 : 1, 2, 4, 8, 37, 74, 148, 296

473 : 1, 11, 43, 473

638 : 1, 2, 11, 22, 29, 58, 319, 638

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,554,296,473,638, is 1.

Now, the common factors can be found like this.

671:11x 61

554:2x 277

296:2x 2x 2x 37

473:11x 43

638:2x 11x 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 2x 11x 11 = 484

Therefore, the value for common factors is 484.

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 = 33205178210336/(1x484)

LCM = 33205178210336/484

LCM = 68605740104

Thus, we can understand that the LCM of 671,554,296,473,638 is 68605740104.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 671, 554, 296, 473, 638

1. What is the LCM of 671, 554, 296, 473, 638?

Answer: LCM of 671, 554, 296, 473, 638 is 68605740104.

2. How to calculate the LCM of 671, 554, 296, 473, 638?

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 671, 554, 296, 473, 638.

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}.