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LCM of 688, 465, 272, 241, 895

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


Find the LCM of 688, 465, 272, 241, 895 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 688, 465, 272, 241, 895. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 688,465,272,241,895

Given numbers are 688,465,272,241,895

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

The LCM of 688,465,272,241,895 is 234617490960.

Find LCM of 688,465,272,241,895 with Prime Factorization


2 688, 465, 272, 241, 895
2 344, 465, 136, 241, 895
2 172, 465, 68, 241, 895
2 86, 465, 34, 241, 895
5 43, 465, 17, 241, 895
43, 93, 17, 241, 179

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

2 x 2 x 2 x 2 x 5 x 43 x 93 x 17 x 241 x 179 = 234617490960

Therefore, the lowest common multiple of 688,465,272,241,895 is 234617490960.

LCM Formula to Find Lowest Common Multiple of 688,465,272,241,895

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.

688 x 465 x 272 x 241 x 895 = 18769399276800

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.

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

465 : 1, 3, 5, 15, 31, 93, 155, 465

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

241 : 1, 241

895 : 1, 5, 179, 895

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,465,272,241,895, is 1.

Now, the common factors can be found like this.

688:2x 2x 2x 2x 43

465:3x 5x 31

272:2x 2x 2x 2x 17

241:241

895:5x 179

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 2x 2x 5 = 80

Therefore, the value for common factors is 80.

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 = 18769399276800/(1x80)

LCM = 18769399276800/80

LCM = 234617490960

Thus, we can understand that the LCM of 688,465,272,241,895 is 234617490960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 688, 465, 272, 241, 895

1. What is the LCM of 688, 465, 272, 241, 895?

Answer: LCM of 688, 465, 272, 241, 895 is 234617490960.

2. How to calculate the LCM of 688, 465, 272, 241, 895?

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 688, 465, 272, 241, 895.

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}.