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LCM of 845, 139, 556, 521, 407

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


Find the LCM of 845, 139, 556, 521, 407 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 845, 139, 556, 521, 407. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 845,139,556,521,407

Given numbers are 845,139,556,521,407

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

The LCM of 845,139,556,521,407 is 99623921540.

Find LCM of 845,139,556,521,407 with Prime Factorization


139 845, 139, 556, 521, 407
845, 1, 4, 521, 407

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

139 x 845 x 1 x 4 x 521 x 407 = 99623921540

Therefore, the lowest common multiple of 845,139,556,521,407 is 99623921540.

LCM Formula to Find Lowest Common Multiple of 845,139,556,521,407

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.

845 x 139 x 556 x 521 x 407 = 13847725094060

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.

845 : 1, 5, 13, 65, 169, 845

139 : 1, 139

556 : 1, 2, 4, 139, 278, 556

521 : 1, 521

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,139,556,521,407, is 1.

Now, the common factors can be found like this.

845:5x 13x 13

139:139

556:2x 2x 139

521:521

407:11x 37

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

139 = 139

Therefore, the value for common factors is 139.

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 = 13847725094060/(1x139)

LCM = 13847725094060/139

LCM = 99623921540

Thus, we can understand that the LCM of 845,139,556,521,407 is 99623921540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 845, 139, 556, 521, 407

1. What is the LCM of 845, 139, 556, 521, 407?

Answer: LCM of 845, 139, 556, 521, 407 is 99623921540.

2. How to calculate the LCM of 845, 139, 556, 521, 407?

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 845, 139, 556, 521, 407.

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}.