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LCM of 901, 841, 841, 645

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


Find the LCM of 901, 841, 841, 645 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 901, 841, 841, 645. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 901,841,841,645

Given numbers are 901,841,841,645

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

The LCM of 901,841,841,645 is 488742945.

Find LCM of 901,841,841,645 with Prime Factorization


29 901, 841, 841, 645
29 901, 29, 29, 645
901, 1, 1, 645

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

29 x 29 x 901 x 1 x 1 x 645 = 488742945

Therefore, the lowest common multiple of 901,841,841,645 is 488742945.

LCM Formula to Find Lowest Common Multiple of 901,841,841,645

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.

901 x 841 x 841 x 645 = 411032816745

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.

901 : 1, 17, 53, 901

841 : 1, 29, 841

841 : 1, 29, 841

645 : 1, 3, 5, 15, 43, 129, 215, 645

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,841,841,645, is 1.

Now, the common factors can be found like this.

901:17x 53

841:29x 29

841:29x 29

645:3x 5x 43

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

29x 29 = 841

Therefore, the value for common factors is 841.

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 = 411032816745/(1x841)

LCM = 411032816745/841

LCM = 488742945

Thus, we can understand that the LCM of 901,841,841,645 is 488742945.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 901, 841, 841, 645

1. What is the LCM of 901, 841, 841, 645?

Answer: LCM of 901, 841, 841, 645 is 488742945.

2. How to calculate the LCM of 901, 841, 841, 645?

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 901, 841, 841, 645.

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}.