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LCM of 853, 377, 261, 391, 352

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


Find the LCM of 853, 377, 261, 391, 352 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 853, 377, 261, 391, 352. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 853,377,261,391,352

Given numbers are 853,377,261,391,352

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

The LCM of 853,377,261,391,352 is 398338525728.

Find LCM of 853,377,261,391,352 with Prime Factorization


29 853, 377, 261, 391, 352
853, 13, 9, 391, 352

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

29 x 853 x 13 x 9 x 391 x 352 = 398338525728

Therefore, the lowest common multiple of 853,377,261,391,352 is 398338525728.

LCM Formula to Find Lowest Common Multiple of 853,377,261,391,352

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.

853 x 377 x 261 x 391 x 352 = 11551817246112

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.

853 : 1, 853

377 : 1, 13, 29, 377

261 : 1, 3, 9, 29, 87, 261

391 : 1, 17, 23, 391

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 853,377,261,391,352, is 1.

Now, the common factors can be found like this.

853:853

377:13x 29

261:3x 3x 29

391:17x 23

352:2x 2x 2x 2x 2x 11

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

29 = 29

Therefore, the value for common factors is 29.

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 = 11551817246112/(1x29)

LCM = 11551817246112/29

LCM = 398338525728

Thus, we can understand that the LCM of 853,377,261,391,352 is 398338525728.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 853, 377, 261, 391, 352

1. What is the LCM of 853, 377, 261, 391, 352?

Answer: LCM of 853, 377, 261, 391, 352 is 398338525728.

2. How to calculate the LCM of 853, 377, 261, 391, 352?

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 853, 377, 261, 391, 352.

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}.