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LCM of 841, 841, 590, 746

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


Find the LCM of 841, 841, 590, 746 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 841, 841, 590, 746. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 841,841,590,746

Given numbers are 841,841,590,746

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

The LCM of 841,841,590,746 is 185078870.

Find LCM of 841,841,590,746 with Prime Factorization


2 841, 841, 590, 746
29 841, 841, 295, 373
29 29, 29, 295, 373
1, 1, 295, 373

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

2 x 29 x 29 x 1 x 1 x 295 x 373 = 185078870

Therefore, the lowest common multiple of 841,841,590,746 is 185078870.

LCM Formula to Find Lowest Common Multiple of 841,841,590,746

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.

841 x 841 x 590 x 746 = 311302659340

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.

841 : 1, 29, 841

841 : 1, 29, 841

590 : 1, 2, 5, 10, 59, 118, 295, 590

746 : 1, 2, 373, 746

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 841,841,590,746, is 1.

Now, the common factors can be found like this.

841:29x 29

841:29x 29

590:2x 5x 59

746:2x 373

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

2x 29x 29 = 1682

Therefore, the value for common factors is 1682.

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 = 311302659340/(1x1682)

LCM = 311302659340/1682

LCM = 185078870

Thus, we can understand that the LCM of 841,841,590,746 is 185078870.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 841, 841, 590, 746

1. What is the LCM of 841, 841, 590, 746?

Answer: LCM of 841, 841, 590, 746 is 185078870.

2. How to calculate the LCM of 841, 841, 590, 746?

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 841, 841, 590, 746.

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}.