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LCM of 889, 574, 781, 231, 357

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


Find the LCM of 889, 574, 781, 231, 357 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 889, 574, 781, 231, 357. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 889,574,781,231,357

Given numbers are 889,574,781,231,357

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

The LCM of 889,574,781,231,357 is 2903600238.

Find LCM of 889,574,781,231,357 with Prime Factorization


3 889, 574, 781, 231, 357
7 889, 574, 781, 77, 119
11 127, 82, 781, 11, 17
127, 82, 71, 1, 17

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

3 x 7 x 11 x 127 x 82 x 71 x 1 x 17 = 2903600238

Therefore, the lowest common multiple of 889,574,781,231,357 is 2903600238.

LCM Formula to Find Lowest Common Multiple of 889,574,781,231,357

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.

889 x 574 x 781 x 231 x 357 = 32865851093922

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.

889 : 1, 7, 127, 889

574 : 1, 2, 7, 14, 41, 82, 287, 574

781 : 1, 11, 71, 781

231 : 1, 3, 7, 11, 21, 33, 77, 231

357 : 1, 3, 7, 17, 21, 51, 119, 357

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 889,574,781,231,357, is 1.

Now, the common factors can be found like this.

889:7x 127

574:2x 7x 41

781:11x 71

231:3x 7x 11

357:3x 7x 17

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

3x 7x 7x 7x 11 = 11319

Therefore, the value for common factors is 11319.

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 = 32865851093922/(1x11319)

LCM = 32865851093922/11319

LCM = 2903600238

Thus, we can understand that the LCM of 889,574,781,231,357 is 2903600238.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 889, 574, 781, 231, 357

1. What is the LCM of 889, 574, 781, 231, 357?

Answer: LCM of 889, 574, 781, 231, 357 is 2903600238.

2. How to calculate the LCM of 889, 574, 781, 231, 357?

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 889, 574, 781, 231, 357.

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}.