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LCM of 902, 891, 433, 689, 943

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


Find the LCM of 902, 891, 433, 689, 943 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 902, 891, 433, 689, 943. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 902,891,433,689,943

Given numbers are 902,891,433,689,943

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

The LCM of 902,891,433,689,943 is 501333251562.

Find LCM of 902,891,433,689,943 with Prime Factorization


11 902, 891, 433, 689, 943
41 82, 81, 433, 689, 943
2, 81, 433, 689, 23

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

11 x 41 x 2 x 81 x 433 x 689 x 23 = 501333251562

Therefore, the lowest common multiple of 902,891,433,689,943 is 501333251562.

LCM Formula to Find Lowest Common Multiple of 902,891,433,689,943

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.

902 x 891 x 433 x 689 x 943 = 226101296454462

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.

902 : 1, 2, 11, 22, 41, 82, 451, 902

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

433 : 1, 433

689 : 1, 13, 53, 689

943 : 1, 23, 41, 943

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,891,433,689,943, is 1.

Now, the common factors can be found like this.

902:2x 11x 41

891:3x 3x 3x 3x 11

433:433

689:13x 53

943:23x 41

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

11x 41 = 451

Therefore, the value for common factors is 451.

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 = 226101296454462/(1x451)

LCM = 226101296454462/451

LCM = 501333251562

Thus, we can understand that the LCM of 902,891,433,689,943 is 501333251562.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 902, 891, 433, 689, 943

1. What is the LCM of 902, 891, 433, 689, 943?

Answer: LCM of 902, 891, 433, 689, 943 is 501333251562.

2. How to calculate the LCM of 902, 891, 433, 689, 943?

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 902, 891, 433, 689, 943.

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}.